202201221121200 has 240 divisors, whose sum is σ = 822498935746560. Its totient is φ = 46217421953280.

The previous prime is 202201221121117. The next prime is 202201221121231. The reversal of 202201221121200 is 2121122102202.

It is a happy number.

202201221121200 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 221 + 1 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1337234064 + ... + 1337385263.

It is an arithmetic number, because the mean of its divisors is an integer number (3427078898944).

Almost surely, 2^{202201221121200} is an apocalyptic number.

202201221121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201221121200 is an abundant number, since it is smaller than the sum of its proper divisors (620297714625360).

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

202201221121200 is a wasteful number, since it uses less digits than its factorization.

202201221121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674619361 (or 2674619344 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201221121200 its reverse (2121122102202), we get a palindrome (204322343223402).

The spelling of 202201221121200 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".