120172500 has 270 divisors, whose sum is σ = 445615170. Its totient is φ = 27216000.

The previous prime is 120172499. The next prime is 120172519. The reversal of 120172500 is 5271021.

It can be written as a sum of positive squares in 5 ways, for example, as 35569296 + 84603204 = 5964^2 + 9198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1102446 + ... + 1102554.

Almost surely, 2^120172500 is an apocalyptic number.

120172500 is a gapful number since it is divisible by the number (10) 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 120172500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222807585).

120172500 is an abundant number, since it is smaller than the sum of its proper divisors (325442670).

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

120172500 is a wasteful number, since it uses less digits than its factorization.

120172500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120172500 is about 10962.3218343561. The cubic root of 120172500 is about 493.4786470314.

The spelling of 120172500 in words is "one hundred twenty million, one hundred seventy-two thousand, five hundred".