200166120 has 512 divisors, whose sum is σ = 870912000. Its totient is φ = 39674880.

The previous prime is 200166067. The next prime is 200166133. The reversal of 200166120 is 21661002.

It is a happy number.

200166120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 661 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200166093 and 200166102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2411599 + ... + 2411681.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^200166120 is an apocalyptic number.

200166120 is a gapful number since it is divisible by the number (20) 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 200166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

200166120 is an abundant number, since it is smaller than the sum of its proper divisors (670745880).

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

200166120 is a wasteful number, since it uses less digits than its factorization.

200166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

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

The square root of 200166120 is about 14148.0076335857. The cubic root of 200166120 is about 584.9654154439.

It can be divided in two parts, 2001 and 66120, that added together give a square (68121 = 261²).

The spelling of 200166120 in words is "two hundred million, one hundred sixty-six thousand, one hundred twenty".