22111021011200 has 216 divisors, whose sum is σ = 59717190417696. Its totient is φ = 8038531072000.

The previous prime is 22111021011097. The next prime is 22111021011271. The reversal of 22111021011200 is 211012011122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328945595 + ... + 329012805.

It is an arithmetic number, because the mean of its divisors is an integer number (276468474156).

Almost surely, 2^{22111021011200} is an apocalyptic number.

22111021011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29858595208848).

22111021011200 is an abundant number, since it is smaller than the sum of its proper divisors (37606169406496).

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

22111021011200 is a wasteful number, since it uses less digits than its factorization.

22111021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71921 (or 71902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22111021011200 its reverse (211012011122), we get a palindrome (22322033022322).

The spelling of 22111021011200 in words is "twenty-two trillion, one hundred eleven billion, twenty-one million, eleven thousand, two hundred".