200022112000 has 288 divisors, whose sum is σ = 506630255040. Its totient is φ = 78682521600.

The previous prime is 200022111943. The next prime is 200022112007. The reversal of 200022112000 is 211220002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858463884 + ... + 858464116.

It is an arithmetic number, because the mean of its divisors is an integer number (1759132830).

Almost surely, 2^200022112000 is an apocalyptic number.

200022112000 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 200022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253315127520).

200022112000 is an abundant number, since it is smaller than the sum of its proper divisors (306608143040).

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

200022112000 is a wasteful number, since it uses less digits than its factorization.

200022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200022112000 its reverse (211220002), we get a palindrome (200233332002).

The spelling of 200022112000 in words is "two hundred billion, twenty-two million, one hundred twelve thousand".