200221122400 has 72 divisors (see below), whose sum is σ = 526389058944. Its totient is φ = 73927795200.

The previous prime is 200221122397. The next prime is 200221122443. The reversal of 200221122400 is 4221122002.

200221122400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9615616 + ... + 9636415.

It is an arithmetic number, because the mean of its divisors is an integer number (7310959152).

Almost surely, 2^200221122400 is an apocalyptic number.

200221122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221122400 is an abundant number, since it is smaller than the sum of its proper divisors (326167936544).

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

200221122400 is a wasteful number, since it uses less digits than its factorization.

200221122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19252064 (or 19252051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200221122400 its reverse (4221122002), we get a palindrome (204442244402).

The spelling of 200221122400 in words is "two hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred".