122927715456 has 512 divisors, whose sum is σ = 426193797120. Its totient is φ = 30516756480.

The previous prime is 122927715433. The next prime is 122927715467. The reversal of 122927715456 is 654517729221.

It is a super-2 number, since 2×122927715456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122927715399 and 122927715408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40079235 + ... + 40082301.

It is an arithmetic number, because the mean of its divisors is an integer number (832409760).

Almost surely, 2^122927715456 is an apocalyptic number.

122927715456 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 122927715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213096898560).

122927715456 is an abundant number, since it is smaller than the sum of its proper divisors (303266081664).

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

122927715456 is a wasteful number, since it uses less digits than its factorization.

122927715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3160 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 122927715456 in words is "one hundred twenty-two billion, nine hundred twenty-seven million, seven hundred fifteen thousand, four hundred fifty-six".