122605920 has 192 divisors, whose sum is σ = 434911680. Its totient is φ = 32256000.

The previous prime is 122605883. The next prime is 122605933. The reversal of 122605920 is 29506221.

122605920 is a `hidden beast` number, since 12 + 2 + 60 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 436180 + ... + 436460.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 2^122605920 is an apocalyptic number.

122605920 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 122605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217455840).

122605920 is an abundant number, since it is smaller than the sum of its proper divisors (312305760).

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

122605920 is a wasteful number, since it uses less digits than its factorization.

122605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122605920 is about 11072.7557545536. The cubic root of 122605920 is about 496.7872945944.

The spelling of 122605920 in words is "one hundred twenty-two million, six hundred five thousand, nine hundred twenty".