122713584 has 80 divisors (see below), whose sum is σ = 367333632. Its totient is φ = 34573824.

The previous prime is 122713561. The next prime is 122713597. The reversal of 122713584 is 485317221.

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, 22027 + ... + 27029.

Almost surely, 2^122713584 is an apocalyptic number.

122713584 is a gapful number since it is divisible by the number (14) 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 122713584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183666816).

122713584 is an abundant number, since it is smaller than the sum of its proper divisors (244620048).

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

122713584 is a wasteful number, since it uses less digits than its factorization.

122713584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5088 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 122713584 is about 11077.6163500999. The cubic root of 122713584 is about 496.9326667456.

The spelling of 122713584 in words is "one hundred twenty-two million, seven hundred thirteen thousand, five hundred eighty-four".