22211201121200 has 240 divisors, whose sum is σ = 67017161668800. Its totient is φ = 7029478471680.

The previous prime is 22211201121181. The next prime is 22211201121209. The reversal of 22211201121200 is 212110211222.

It is a super-2 number, since 2×22211201121200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22211201121209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442909 + ... + 8010108.

It is an arithmetic number, because the mean of its divisors is an integer number (279238173620).

Almost surely, 2^{22211201121200} is an apocalyptic number.

22211201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211201121200 is an abundant number, since it is smaller than the sum of its proper divisors (44805960547600).

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

22211201121200 is a wasteful number, since it uses less digits than its factorization.

22211201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453069 (or 12453044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22211201121200 its reverse (212110211222), we get a palindrome (22423311332422).

The spelling of 22211201121200 in words is "twenty-two trillion, two hundred eleven billion, two hundred one million, one hundred twenty-one thousand, two hundred".