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122340232004112 = 24331722217500463
BaseRepresentation
bin11011110100010010001110…
…000100100000001000010000
3121001011121112010011110222000
4123310102032010200020100
5112013410243343112422
61112110154322314000
734524534666046323
oct3364221604401020
9531147463143860
10122340232004112
1135a88223621471
121187a4341b8900
135335832953725
14222d427d827ba
15e2253bd55cac
hex6f448e120210

122340232004112 has 160 divisors (see below), whose sum is σ = 371985812098560. Its totient is φ = 38363963074560.

The previous prime is 122340232004087. The next prime is 122340232004119. The reversal of 122340232004112 is 211400232043221.

122340232004112 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 40 + 2 + 3 + 200 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122340232004119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12560793 + ... + 20061255.

It is an arithmetic number, because the mean of its divisors is an integer number (2324911325616).

Almost surely, 2122340232004112 is an apocalyptic number.

122340232004112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122340232004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185992906049280).

122340232004112 is an abundant number, since it is smaller than the sum of its proper divisors (249645580094448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122340232004112 is a wasteful number, since it uses less digits than its factorization.

122340232004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502718 (or 7502706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122340232004112 its reverse (211400232043221), we get a palindrome (333740464047333).

The spelling of 122340232004112 in words is "one hundred twenty-two trillion, three hundred forty billion, two hundred thirty-two million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2221 2448 3672 4442 6663 7344 8884 13326 17768 19989 26652 35536 37757 39978 53304 59967 75514 79956 106608 113271 119934 151028 159912 226542 239868 302056 319824 339813 453084 479736 604112 679626 906168 959472 1019439 1359252 1812336 2038878 2718504 4077756 5437008 7500463 8155512 15000926 16311024 22501389 30001852 45002778 60003704 67504167 90005556 120007408 127507871 135008334 180011112 202512501 255015742 270016668 360022224 382523613 405025002 510031484 540033336 765047226 810050004 1020062968 1080066672 1147570839 1530094452 1620100008 2040125936 2295141678 3060188904 3240200016 3442712517 4590283356 6120377808 6885425034 9180566712 13770850068 16658528323 18361133424 27541700136 33317056646 49975584969 55083400272 66634113292 99951169938 133268226584 149926754907 199902339876 266536453168 283194981491 299853509814 399804679752 449780264721 566389962982 599707019628 799609359504 849584944473 899560529442 1132779925964 1199414039256 1699169888946 1799121058884 2265559851928 2398828078512 2548754833419 3398339777892 3598242117768 4531119703856 5097509666838 6796679555784 7196484235536 7646264500257 10195019333676 13593359111568 15292529000514 20390038667352 30585058001028 40780077334704 61170116002056 122340232004112