122956964513856 has 504 divisors, whose sum is σ = 401714134848000. Its totient is φ = 35618139648000.

The previous prime is 122956964513821. The next prime is 122956964513857. The reversal of 122956964513856 is 658315469659221.

122956964513856 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 5 + 6 + 96 + 451 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (122956964513857) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1874339745 + ... + 1874405343.

Almost surely, 2^{122956964513856} is an apocalyptic number.

122956964513856 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 122956964513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200857067424000).

122956964513856 is an abundant number, since it is smaller than the sum of its proper divisors (278757170334144).

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

122956964513856 is a wasteful number, since it uses less digits than its factorization.

122956964513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65859 (or 65745 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 122956964513856 in words is "one hundred twenty-two trillion, nine hundred fifty-six billion, nine hundred sixty-four million, five hundred thirteen thousand, eight hundred fifty-six".