21022112011200 has 168 divisors, whose sum is σ = 68974100791680. Its totient is φ = 5605566950400.

The previous prime is 21022112011189. The next prime is 21022112011217. The reversal of 21022112011200 is 211021122012.

It is a super-2 number, since 2×21022112011200² (a number of 27 digits) contains 22 as substring.

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 21022112011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87773211 + ... + 88012389.

It is an arithmetic number, because the mean of its divisors is an integer number (410560123760).

Almost surely, 2^{21022112011200} is an apocalyptic number.

21022112011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022112011200 is an abundant number, since it is smaller than the sum of its proper divisors (47951988780480).

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

21022112011200 is a wasteful number, since it uses less digits than its factorization.

21022112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257515 (or 257500 counting only the distinct ones).

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

Adding to 21022112011200 its reverse (211021122012), we get a palindrome (21233133133212).

The spelling of 21022112011200 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, eleven thousand, two hundred".