200200222122120 has 192 divisors, whose sum is σ = 736089705973440. Its totient is φ = 48533387155200.

The previous prime is 200200222122113. The next prime is 200200222122139. The reversal of 200200222122120 is 21221222002002.

200200222122120 is a `hidden beast` number, since 2 + 0 + 0 + 200 + 2 + 221 + 221 + 20 = 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 = 200200222122093 and 200200222122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936108111 + ... + 936321950.

It is an arithmetic number, because the mean of its divisors is an integer number (3833800551945).

Almost surely, 2^{200200222122120} is an apocalyptic number.

200200222122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200222122120 is an abundant number, since it is smaller than the sum of its proper divisors (535889483851320).

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

200200222122120 is a wasteful number, since it uses less digits than its factorization.

200200222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872430098 (or 1872430082 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200200222122120 its reverse (21221222002002), we get a palindrome (221421444124122).

The spelling of 200200222122120 in words is "two hundred trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".