200922120 has 192 divisors, whose sum is σ = 774184320. Its totient is φ = 45909504.

The previous prime is 200922107. The next prime is 200922143. The reversal of 200922120 is 21229002.

200922120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200922120³ (a number of 26 digits) contains 333 as substring.

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 = 200922093 and 200922102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66564 + ... + 69516.

It is an arithmetic number, because the mean of its divisors is an integer number (4032210).

Almost surely, 2^200922120 is an apocalyptic number.

200922120 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 200922120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387092160).

200922120 is an abundant number, since it is smaller than the sum of its proper divisors (573262200).

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

200922120 is a wasteful number, since it uses less digits than its factorization.

200922120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2970 counting only the distinct ones).

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

The square root of 200922120 is about 14174.6999968253. The cubic root of 200922120 is about 585.7009349666.

The spelling of 200922120 in words is "two hundred million, nine hundred twenty-two thousand, one hundred twenty".