122112966796800 has 1440 divisors, whose sum is σ = 477186682097664. Its totient is φ = 27441856512000.

The previous prime is 122112966796753. The next prime is 122112966796817. The reversal of 122112966796800 is 8697669211221.

122112966796800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 57846027745 + ... + 57846029855.

Almost surely, 2^{122112966796800} is an apocalyptic number.

122112966796800 is a gapful number since it is divisible by the number (10) 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 122112966796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238593341048832).

122112966796800 is an abundant number, since it is smaller than the sum of its proper divisors (355073715300864).

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

122112966796800 is a wasteful number, since it uses less digits than its factorization.

122112966796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 122112966796800 in words is "one hundred twenty-two trillion, one hundred twelve billion, nine hundred sixty-six million, seven hundred ninety-six thousand, eight hundred".