12256617690 has 48 divisors (see below), whose sum is σ = 31890837888. Its totient is φ = 3266007648.

The previous prime is 12256617689. The next prime is 12256617701. The reversal of 12256617690 is 9671665221.

12256617690 is a `hidden beast` number, since 1 + 2 + 25 + 6 + 617 + 6 + 9 + 0 = 666.

12256617690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12256617690² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73219 + ... + 172841.

It is an arithmetic number, because the mean of its divisors is an integer number (664392456).

Almost surely, 2^12256617690 is an apocalyptic number.

12256617690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12256617690 is an abundant number, since it is smaller than the sum of its proper divisors (19634220198).

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

12256617690 is a wasteful number, since it uses less digits than its factorization.

12256617690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101003 (or 101000 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12256617690 in words is "twelve billion, two hundred fifty-six million, six hundred seventeen thousand, six hundred ninety".