122457245640912 has 1280 divisors, whose sum is σ = 466992617226240. Its totient is φ = 29830987929600.

The previous prime is 122457245640911. The next prime is 122457245640967. The reversal of 122457245640912 is 219046542754221.

122457245640912 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 72 + 4 + 564 + 0 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×122457245640912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122457245640911) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13650340587 + ... + 13650349557.

It is an arithmetic number, because the mean of its divisors is an integer number (364837982208).

Almost surely, 2^{122457245640912} is an apocalyptic number.

122457245640912 is a gapful number since it is divisible by the number (12) 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 122457245640912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233496308613120).

122457245640912 is an abundant number, since it is smaller than the sum of its proper divisors (344535371585328).

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

122457245640912 is a wasteful number, since it uses less digits than its factorization.

122457245640912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 122457245640912 in words is "one hundred twenty-two trillion, four hundred fifty-seven billion, two hundred forty-five million, six hundred forty thousand, nine hundred twelve".