122593072 has 40 divisors (see below), whose sum is σ = 274117376. Its totient is φ = 52024896.

The previous prime is 122593067. The next prime is 122593087. The reversal of 122593072 is 270395221.

It is a super-2 number, since 2×122593072² = 30058122604794368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6223 + ... + 16849.

Almost surely, 2^122593072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122593072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137058688).

122593072 is an abundant number, since it is smaller than the sum of its proper divisors (151524304).

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

122593072 is a wasteful number, since it uses less digits than its factorization.

122593072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 122593072 is about 11072.1755766426. The cubic root of 122593072 is about 496.7699410384.

The spelling of 122593072 in words is "one hundred twenty-two million, five hundred ninety-three thousand, seventy-two".