10612123827264 has 112 divisors (see below), whose sum is σ = 31201143388800. Its totient is φ = 3536981779968.

The previous prime is 10612123827169. The next prime is 10612123827287. The reversal of 10612123827264 is 46272832121601.

10612123827264 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 1 + 2 + 382 + 7 + 264 = 666.

It is a super-2 number, since 2×10612123827264² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15435022 + ... + 16107890.

It is an arithmetic number, because the mean of its divisors is an integer number (278581637400).

Almost surely, 2^{10612123827264} is an apocalyptic number.

It is an amenable number.

10612123827264 is an abundant number, since it is smaller than the sum of its proper divisors (20589019561536).

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

10612123827264 is an equidigital number, since it uses as much as digits as its factorization.

10612123827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682017 (or 682001 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 10612123827264 its reverse (46272832121601), we get a palindrome (56884955948865).

The spelling of 10612123827264 in words is "ten trillion, six hundred twelve billion, one hundred twenty-three million, eight hundred twenty-seven thousand, two hundred sixty-four".