122560960 has 112 divisors (see below), whose sum is σ = 309432960. Its totient is φ = 46161920.

The previous prime is 122560943. The next prime is 122560961. The reversal of 122560960 is 69065221.

It is a super-2 number, since 2×122560960² = 30042377832243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122560961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 436020 + ... + 436300.

Almost surely, 2^122560960 is an apocalyptic number.

122560960 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 122560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154716480).

122560960 is an abundant number, since it is smaller than the sum of its proper divisors (186872000).

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

122560960 is a wasteful number, since it uses less digits than its factorization.

122560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 122560960 is about 11070.7253601559. The cubic root of 122560960 is about 496.7265626507.

The spelling of 122560960 in words is "one hundred twenty-two million, five hundred sixty thousand, nine hundred sixty".