212201211121200 has 480 divisors, whose sum is σ = 913951216235520. Its totient is φ = 45650008166400.

The previous prime is 212201211121147. The next prime is 212201211121201. The reversal of 212201211121200 is 2121112102212.

212201211121200 is a `hidden beast` number, since 2 + 1 + 220 + 121 + 1 + 121 + 200 = 666.

It is a super-2 number, since 2×212201211121200² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212201211121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81270516 + ... + 83840915.

It is an arithmetic number, because the mean of its divisors is an integer number (1904065033824).

Almost surely, 2^{212201211121200} is an apocalyptic number.

212201211121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201211121200 is an abundant number, since it is smaller than the sum of its proper divisors (701750005114320).

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

212201211121200 is a wasteful number, since it uses less digits than its factorization.

212201211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165111482 (or 165111465 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212201211121200 its reverse (2121112102212), we get a palindrome (214322323223412).

The spelling of 212201211121200 in words is "two hundred twelve trillion, two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".