221123312011200 has 168 divisors, whose sum is σ = 725475538022400. Its totient is φ = 58965663411200.

The previous prime is 221123312011169. The next prime is 221123312011207. The reversal of 221123312011200 is 2110213321122.

It is a super-2 number, since 2×221123312011200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123312011207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917788351 + ... + 918029249.

Almost surely, 2^{221123312011200} is an apocalyptic number.

221123312011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221123312011200 is an abundant number, since it is smaller than the sum of its proper divisors (504352226011200).

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

221123312011200 is a wasteful number, since it uses less digits than its factorization.

221123312011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432155 (or 432140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221123312011200 its reverse (2110213321122), we get a palindrome (223233525332322).

The spelling of 221123312011200 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, three hundred twelve million, eleven thousand, two hundred".