122652560 has 80 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 46548480.

The previous prime is 122652559. The next prime is 122652587. The reversal of 122652560 is 65256221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351266 + ... + 351614.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^122652560 is an apocalyptic number.

122652560 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 122652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

122652560 is an abundant number, since it is smaller than the sum of its proper divisors (177328240).

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

122652560 is a wasteful number, since it uses less digits than its factorization.

122652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 122652560 is about 11074.8616244177. The cubic root of 122652560 is about 496.8502801937.

The spelling of 122652560 in words is "one hundred twenty-two million, six hundred fifty-two thousand, five hundred sixty".