122605675920 has 800 divisors, whose sum is σ = 534120314112. Its totient is φ = 25373896704.

The previous prime is 122605675919. The next prime is 122605675937. The reversal of 122605675920 is 29576506221.

122605675920 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 56 + 7 + 592 + 0 = 666.

122605675920 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 (45).

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, 31251079 + ... + 31255001.

Almost surely, 2^122605675920 is an apocalyptic number.

122605675920 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 122605675920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267060157056).

122605675920 is an abundant number, since it is smaller than the sum of its proper divisors (411514638192).

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

122605675920 is a wasteful number, since it uses less digits than its factorization.

122605675920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 122605675920 in words is "one hundred twenty-two billion, six hundred five million, six hundred seventy-five thousand, nine hundred twenty".