120166200 has 576 divisors, whose sum is σ = 548179200. Its totient is φ = 23500800.

The previous prime is 120166181. The next prime is 120166213. The reversal of 120166200 is 2661021.

It is a happy number.

120166200 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 662 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 7068592 + ... + 7068608.

It is an arithmetic number, because the mean of its divisors is an integer number (951700).

Almost surely, 2^120166200 is an apocalyptic number.

120166200 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 120166200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274089600).

120166200 is an abundant number, since it is smaller than the sum of its proper divisors (428013000).

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

120166200 is a wasteful number, since it uses less digits than its factorization.

120166200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120166200 is about 10962.0344827044. The cubic root of 120166200 is about 493.4700234007.

The spelling of 120166200 in words is "one hundred twenty million, one hundred sixty-six thousand, two hundred".