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120212040222 = 236831317583
BaseRepresentation
bin110111111110100110…
…0100010101000011110
3102111021210011101000000
41233331030202220132
53432143240241342
6131120305115130
711453652324321
oct1577514425036
9374253141000
10120212040222
1146a8862107a
121b36a928aa6
13b44a0c8a61
145b655807b8
1531d88dc44c
hex1bfd322a1e

120212040222 has 112 divisors (see below), whose sum is σ = 275735674368. Its totient is φ = 39280522320.

The previous prime is 120212040197. The next prime is 120212040233. The reversal of 120212040222 is 222040212021.

120212040222 is a `hidden beast` number, since 120 + 2 + 120 + 402 + 22 = 666.

It is a super-2 number, since 2×1202120402222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212040195 and 120212040204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15849043 + ... + 15856625.

It is an arithmetic number, because the mean of its divisors is an integer number (2461925664).

Almost surely, 2120212040222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212040222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137867837184).

120212040222 is an abundant number, since it is smaller than the sum of its proper divisors (155523634146).

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

120212040222 is an equidigital number, since it uses as much as digits as its factorization.

120212040222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120212040222 its reverse (222040212021), we get a palindrome (342252252243).

The spelling of 120212040222 in words is "one hundred twenty billion, two hundred twelve million, forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 131 162 166 243 249 262 393 486 498 729 747 786 1179 1458 1494 2241 2358 3537 4482 6723 7074 7583 10611 10873 13446 15166 20169 21222 21746 22749 31833 32619 40338 45498 60507 63666 65238 68247 95499 97857 121014 136494 190998 195714 204741 293571 409482 587142 614223 629389 880713 993373 1228446 1258778 1761426 1842669 1888167 1986746 2642139 2980119 3685338 3776334 5284278 5528007 5664501 5960238 7926417 8940357 11056014 11329002 15852834 16993503 17880714 26821071 33987006 50980509 53642142 80463213 82449959 101961018 152941527 160926426 164899918 241389639 247349877 305883054 458824581 482779278 494699754 724168917 742049631 917649162 1448337834 1484099262 2226148893 4452297786 6678446679 13356893358 20035340037 40070680074 60106020111 120212040222