22210200121200 has 240 divisors, whose sum is σ = 87565138139136. Its totient is φ = 4686108134400.

The previous prime is 22210200121181. The next prime is 22210200121243. The reversal of 22210200121200 is 212100201222.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22210200121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101585856 + ... + 101804255.

Almost surely, 2^{22210200121200} is an apocalyptic number.

22210200121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210200121200 is an abundant number, since it is smaller than the sum of its proper divisors (65354938017936).

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

22210200121200 is a wasteful number, since it uses less digits than its factorization.

22210200121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203390152 (or 203390141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22210200121200 its reverse (212100201222), we get a palindrome (22422300322422).

The spelling of 22210200121200 in words is "twenty-two trillion, two hundred ten billion, two hundred million, one hundred twenty-one thousand, two hundred".