122593504 has 48 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 54770560.

The previous prime is 122593501. The next prime is 122593507. The reversal of 122593504 is 405395221.

It is an interprime number because it is at equal distance from previous prime (122593501) and next prime (122593507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122593501) 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, 17817 + ... + 23719.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2^122593504 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 122593504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

122593504 is an abundant number, since it is smaller than the sum of its proper divisors (145211936).

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

122593504 is a wasteful number, since it uses less digits than its factorization.

122593504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 122593504 is about 11072.1950849865. The cubic root of 122593504 is about 496.7705245525.

The spelling of 122593504 in words is "one hundred twenty-two million, five hundred ninety-three thousand, five hundred four".