120172200 has 96 divisors (see below), whose sum is σ = 379663200. Its totient is φ = 31432960.

The previous prime is 120172163. The next prime is 120172237. The reversal of 120172200 is 2271021.

It is an interprime number because it is at equal distance from previous prime (120172163) and next prime (120172237).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120172200.

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, 29911 + ... + 33689.

It is an arithmetic number, because the mean of its divisors is an integer number (3954825).

Almost surely, 2^120172200 is an apocalyptic number.

120172200 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 120172200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189831600).

120172200 is an abundant number, since it is smaller than the sum of its proper divisors (259491000).

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

120172200 is a wasteful number, since it uses less digits than its factorization.

120172200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 120172200 is about 10962.3081511149. The cubic root of 120172200 is about 493.4782363892.

The spelling of 120172200 in words is "one hundred twenty million, one hundred seventy-two thousand, two hundred".