122916864 has 104 divisors (see below), whose sum is σ = 374820160. Its totient is φ = 35094528.

The previous prime is 122916863. The next prime is 122916881. The reversal of 122916864 is 468619221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122916863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85302 + ... + 86730.

It is an arithmetic number, because the mean of its divisors is an integer number (3604040).

Almost surely, 2^122916864 is an apocalyptic number.

122916864 is a gapful number since it is divisible by the number (14) 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 122916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187410080).

122916864 is an abundant number, since it is smaller than the sum of its proper divisors (251903296).

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

122916864 is an equidigital number, since it uses as much as digits as its factorization.

122916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1441 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 122916864 is about 11086.7878125271. The cubic root of 122916864 is about 497.2069117020.

The spelling of 122916864 in words is "one hundred twenty-two million, nine hundred sixteen thousand, eight hundred sixty-four".