122716896 has 72 divisors (see below), whose sum is σ = 340074504. Its totient is φ = 38741760.

The previous prime is 122716871. The next prime is 122716921. The reversal of 122716896 is 698617221.

It is an interprime number because it is at equal distance from previous prime (122716871) and next prime (122716921).

It is a congruent number.

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, 32886 + ... + 36426.

It is an arithmetic number, because the mean of its divisors is an integer number (4723257).

Almost surely, 2^122716896 is an apocalyptic number.

122716896 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 122716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170037252).

122716896 is an abundant number, since it is smaller than the sum of its proper divisors (217357608).

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

122716896 is a wasteful number, since it uses less digits than its factorization.

122716896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3565 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 122716896 is about 11077.7658397350. The cubic root of 122716896 is about 496.9371373894.

The spelling of 122716896 in words is "one hundred twenty-two million, seven hundred sixteen thousand, eight hundred ninety-six".