122112385920 has 1280 divisors, whose sum is σ = 533174400000. Its totient is φ = 26013892608.

The previous prime is 122112385907. The next prime is 122112385943. The reversal of 122112385920 is 29583211221.

122112385920 is a `hidden beast` number, since 1 + 2 + 21 + 12 + 38 + 592 + 0 = 666.

It is a super-2 number, since 2×122112385920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 613629981 + ... + 613630179.

It is an arithmetic number, because the mean of its divisors is an integer number (416542500).

Almost surely, 2^122112385920 is an apocalyptic number.

122112385920 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 122112385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200000).

122112385920 is an abundant number, since it is smaller than the sum of its proper divisors (411062014080).

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

122112385920 is a wasteful number, since it uses less digits than its factorization.

122112385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 122112385920 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred eighty-five thousand, nine hundred twenty".