22211220121200 has 180 divisors, whose sum is σ = 84086294990568. Its totient is φ = 5384538201600.

The previous prime is 22211220121199. The next prime is 22211220121201. The reversal of 22211220121200 is 212102211222.

It is a happy number.

22211220121200 is a `hidden beast` number, since 2 + 221 + 1 + 220 + 1 + 21 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (22211220121199) and next prime (22211220121201).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211220121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280405099 + ... + 280484298.

Almost surely, 2^{22211220121200} is an apocalyptic number.

22211220121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211220121200 is an abundant number, since it is smaller than the sum of its proper divisors (61875074869368).

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

22211220121200 is a wasteful number, since it uses less digits than its factorization.

22211220121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560889432 (or 560889418 counting only the distinct ones).

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

Adding to 22211220121200 its reverse (212102211222), we get a palindrome (22423322332422).

The spelling of 22211220121200 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".