123111256964256 has 1152 divisors, whose sum is σ = 429498683228160. Its totient is φ = 33004594022400.

The previous prime is 123111256964219. The next prime is 123111256964299. The reversal of 123111256964256 is 652469652111321.

It is a happy number.

123111256964256 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 12 + 569 + 64 + 2 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28824923401 + ... + 28824927671.

It is an arithmetic number, because the mean of its divisors is an integer number (372828718080).

Almost surely, 2^{123111256964256} is an apocalyptic number.

123111256964256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123111256964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214749341614080).

123111256964256 is an abundant number, since it is smaller than the sum of its proper divisors (306387426263904).

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

123111256964256 is a wasteful number, since it uses less digits than its factorization.

123111256964256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4819 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 123111256964256 in words is "one hundred twenty-three trillion, one hundred eleven billion, two hundred fifty-six million, nine hundred sixty-four thousand, two hundred fifty-six".