122572590 has 64 divisors (see below), whose sum is σ = 339586560. Its totient is φ = 27734400.

The previous prime is 122572579. The next prime is 122572627. The reversal of 122572590 is 95275221.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18321 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (5306040).

Almost surely, 2^122572590 is an apocalyptic number.

122572590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122572590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169793280).

122572590 is an abundant number, since it is smaller than the sum of its proper divisors (217013970).

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

122572590 is a wasteful number, since it uses less digits than its factorization.

122572590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 122572590 is about 11071.2506068646. The cubic root of 122572590 is about 496.7422738723.

The spelling of 122572590 in words is "one hundred twenty-two million, five hundred seventy-two thousand, five hundred ninety".