22121111111200 has 36 divisors (see below), whose sum is σ = 54003162502170. Its totient is φ = 8848444444160.

The previous prime is 22121111111179. The next prime is 22121111111213. The reversal of 22121111111200 is 211111112122.

It can be written as a sum of positive squares in 3 ways, for example, as 21345915386896 + 775195724304 = 4620164^2 + 880452^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13825693645 + ... + 13825695244.

Almost surely, 2^{22121111111200} is an apocalyptic number.

22121111111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121111111200 is an abundant number, since it is smaller than the sum of its proper divisors (31882051390970).

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

22121111111200 is a wasteful number, since it uses less digits than its factorization.

22121111111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27651388909 (or 27651388896 counting only the distinct ones).

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

Adding to 22121111111200 its reverse (211111112122), we get a palindrome (22332222223322).

The spelling of 22121111111200 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, two hundred".