122560512 has 56 divisors (see below), whose sum is σ = 326873616. Its totient is φ = 40845312.

The previous prime is 122560489. The next prime is 122560513. The reversal of 122560512 is 215065221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122560513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22083 + ... + 27069.

Almost surely, 2^122560512 is an apocalyptic number.

122560512 is a gapful number since it is divisible by the number (12) 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 122560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163436808).

122560512 is an abundant number, since it is smaller than the sum of its proper divisors (204313104).

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

122560512 is an frugal number, since it uses more digits than its factorization.

122560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 122560512 is about 11070.7051265942. The cubic root of 122560512 is about 496.7259574178.

The spelling of 122560512 in words is "one hundred twenty-two million, five hundred sixty thousand, five hundred twelve".