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12324110112 = 253261701509
BaseRepresentation
bin10110111101001001…
…01111111100100000
31011210212222122211200
423132210233330200
5200214433010422
65354524241200
7614255131116
oct133644577440
934725878750
1012324110112
115254703376
12247b3a0200
131215354762
1484caa9ab6
154c1e432ac
hex2de92ff20

12324110112 has 72 divisors (see below), whose sum is σ = 35621274780. Its totient is φ = 4040686080.

The previous prime is 12324110107. The next prime is 12324110131. The reversal of 12324110112 is 21101142321.

It can be written as a sum of positive squares in 2 ways, for example, as 8597740176 + 3726369936 = 92724^2 + 61044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333187 + ... + 368322.

Almost surely, 212324110112 is an apocalyptic number.

12324110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12324110112 is an abundant number, since it is smaller than the sum of its proper divisors (23297164668).

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

12324110112 is a wasteful number, since it uses less digits than its factorization.

12324110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701586 (or 701575 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12324110112 its reverse (21101142321), we get a palindrome (33425252433).

The spelling of 12324110112 in words is "twelve billion, three hundred twenty-four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 701509 1403018 2104527 2806036 4209054 5612072 6313581 8418108 11224144 12627162 16836216 22448288 25254324 33672432 42792049 50508648 67344864 85584098 101017296 128376147 171168196 202034592 256752294 342336392 385128441 513504588 684672784 770256882 1027009176 1369345568 1540513764 2054018352 3081027528 4108036704 6162055056 12324110112