122016502560 has 96 divisors (see below), whose sum is σ = 384483697920. Its totient is φ = 32526583808.

The previous prime is 122016502529. The next prime is 122016502561. The reversal of 122016502560 is 65205610221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122016502561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408996 + ... + 1493084.

It is an arithmetic number, because the mean of its divisors is an integer number (4005038520).

Almost surely, 2^122016502560 is an apocalyptic number.

122016502560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122016502560 is an abundant number, since it is smaller than the sum of its proper divisors (262467195360).

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

122016502560 is a wasteful number, since it uses less digits than its factorization.

122016502560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87130 (or 87122 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 122016502560 in words is "one hundred twenty-two billion, sixteen million, five hundred two thousand, five hundred sixty".