22212101101200 has 120 divisors (see below), whose sum is σ = 71153954197728. Its totient is φ = 5923127869440.

The previous prime is 22212101101087. The next prime is 22212101101219. The reversal of 22212101101200 is 210110121222.

It is a tau number, because it is divible by the number of its divisors (120).

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 22212101101200.

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 23 ways as a sum of consecutive naturals, for example, 96993232 + ... + 97221968.

Almost surely, 2^{22212101101200} is an apocalyptic number.

22212101101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212101101200 is an abundant number, since it is smaller than the sum of its proper divisors (48941853096528).

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

22212101101200 is a wasteful number, since it uses less digits than its factorization.

22212101101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309681 (or 309670 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22212101101200 its reverse (210110121222), we get a palindrome (22422211222422).

The spelling of 22212101101200 in words is "twenty-two trillion, two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred".