120417052 has 72 divisors (see below), whose sum is σ = 267369984. Its totient is φ = 46387968.

The previous prime is 120417049. The next prime is 120417083. The reversal of 120417052 is 250714021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185793 + ... + 186439.

It is an arithmetic number, because the mean of its divisors is an integer number (3713472).

Almost surely, 2^120417052 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 120417052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684992).

120417052 is an abundant number, since it is smaller than the sum of its proper divisors (146952932).

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

120417052 is a wasteful number, since it uses less digits than its factorization.

120417052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 120417052 is about 10973.4703717648. The cubic root of 120417052 is about 493.8131645517.

The spelling of 120417052 in words is "one hundred twenty million, four hundred seventeen thousand, fifty-two".