122616576 has 108 divisors (see below), whose sum is σ = 372273720. Its totient is φ = 38707200.

The previous prime is 122616517. The next prime is 122616583. The reversal of 122616576 is 675616221.

It is a happy number.

122616576 is a `hidden beast` number, since 1 + 22 + 61 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122616576.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42376 + ... + 45176.

Almost surely, 2^122616576 is an apocalyptic number.

122616576 is a gapful number since it is divisible by the number (16) 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 122616576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186136860).

122616576 is an abundant number, since it is smaller than the sum of its proper divisors (249657144).

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

122616576 is a wasteful number, since it uses less digits than its factorization.

122616576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122616576 is about 11073.2369251272. The cubic root of 122616576 is about 496.8016865369.

The spelling of 122616576 in words is "one hundred twenty-two million, six hundred sixteen thousand, five hundred seventy-six".