122592 has 24 divisors (see below), whose sum is σ = 322056. Its totient is φ = 40832.

The previous prime is 122579. The next prime is 122597. The reversal of 122592 is 295221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122592.

It is not an unprimeable number, because it can be changed into a prime (122597) by changing a digit.

122592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 543 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (13419).

2¹²²⁵⁹² is an apocalyptic number.

122592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122592 is an abundant number, since it is smaller than the sum of its proper divisors (199464).

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

122592 is a wasteful number, since it uses less digits than its factorization.

122592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 122592 is about 350.1314039043. The cubic root of 122592 is about 49.6768493053.

The spelling of 122592 in words is "one hundred twenty-two thousand, five hundred ninety-two".