122931216 has 160 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 36495360.

The previous prime is 122931209. The next prime is 122931223. The reversal of 122931216 is 612139221.

It is an interprime number because it is at equal distance from previous prime (122931209) and next prime (122931223).

It is a super-2 number, since 2×122931216² = 30224167734477312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122931216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139096 + ... + 139976.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^122931216 is an apocalyptic number.

122931216 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 122931216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

122931216 is an abundant number, since it is smaller than the sum of its proper divisors (270793584).

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

122931216 is a wasteful number, since it uses less digits than its factorization.

122931216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 122931216 is about 11087.4350505426. The cubic root of 122931216 is about 497.2262625479.

The spelling of 122931216 in words is "one hundred twenty-two million, nine hundred thirty-one thousand, two hundred sixteen".