122561920 has 64 divisors (see below), whose sum is σ = 315559440. Its totient is φ = 45250560.

The previous prime is 122561903. The next prime is 122561969. The reversal of 122561920 is 29165221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 15685.

Almost surely, 2^122561920 is an apocalyptic number.

122561920 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 122561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157779720).

122561920 is an abundant number, since it is smaller than the sum of its proper divisors (192997520).

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

122561920 is a wasteful number, since it uses less digits than its factorization.

122561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14763 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 122561920 is about 11070.7687176636. The cubic root of 122561920 is about 496.7278595734.

The spelling of 122561920 in words is "one hundred twenty-two million, five hundred sixty-one thousand, nine hundred twenty".