Search a number
-
+
122004134013240 = 23335844713373599
BaseRepresentation
bin11011101111011001001101…
…000100011010100100111000
3120222222110222212111111222000
4123233121031010122210320
5111442403431301410430
61111251531520101000
734461336114213033
oct3357311504324470
9528873885444860
10122004134013240
1135968732011366
1211825275764760
13530cc2c2a4b0b
14221b06299a01a
15e1891a52ae60
hex6ef64d11a938

122004134013240 has 128 divisors (see below), whose sum is σ = 406728622080000. Its totient is φ = 32530581707904.

The previous prime is 122004134013197. The next prime is 122004134013247. The reversal of 122004134013240 is 42310431400221.

122004134013240 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 4 + 13 + 401 + 3 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122004134013247) 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, 2435961 + ... + 15809559.

It is an arithmetic number, because the mean of its divisors is an integer number (3177567360000).

Almost surely, 2122004134013240 is an apocalyptic number.

122004134013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122004134013240 is an abundant number, since it is smaller than the sum of its proper divisors (284724488066760).

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

122004134013240 is a wasteful number, since it uses less digits than its factorization.

122004134013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13382066 (or 13382056 counting only the distinct ones).

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

Adding to 122004134013240 its reverse (42310431400221), we get a palindrome (164314565413461).

The spelling of 122004134013240 in words is "one hundred twenty-two trillion, four billion, one hundred thirty-four million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 8447 16894 25341 33788 42235 50682 67576 76023 84470 101364 126705 152046 168940 202728 228069 253410 304092 337880 380115 456138 506820 608184 760230 912276 1013640 1140345 1520460 1824552 2280690 3040920 4561380 9122760 13373599 26747198 40120797 53494396 66867995 80241594 106988792 120362391 133735990 160483188 200603985 240724782 267471980 320966376 361087173 401207970 481449564 534943960 601811955 722174346 802415940 962899128 1203623910 1444348692 1604831880 1805435865 2407247820 2888697384 3610871730 4814495640 7221743460 14443486920 112966790753 225933581506 338900372259 451867163012 564833953765 677800744518 903734326024 1016701116777 1129667907530 1355601489036 1694501861295 2033402233554 2259335815060 2711202978072 3050103350331 3389003722590 4066804467108 4518671630120 5083505583885 6100206700662 6778007445180 8133608934216 10167011167770 12200413401324 13556014890360 15250516751655 20334022335540 24400826802648 30501033503310 40668044671080 61002067006620 122004134013240