122592480 has 96 divisors (see below), whose sum is σ = 390295584. Its totient is φ = 32342016.

The previous prime is 122592479. The next prime is 122592499. The reversal of 122592480 is 84295221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45244 + ... + 47876.

It is an arithmetic number, because the mean of its divisors is an integer number (4065579).

Almost surely, 2^122592480 is an apocalyptic number.

122592480 is a gapful number since it is divisible by the number (10) 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 122592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195147792).

122592480 is an abundant number, since it is smaller than the sum of its proper divisors (267703104).

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

122592480 is a wasteful number, since it uses less digits than its factorization.

122592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 122592480 is about 11072.1488429302. The cubic root of 122592480 is about 496.7691414057.

The spelling of 122592480 in words is "one hundred twenty-two million, five hundred ninety-two thousand, four hundred eighty".