22112100021200 has 240 divisors, whose sum is σ = 61757153539200. Its totient is φ = 7451476623360.

The previous prime is 22112100021181. The next prime is 22112100021211. The reversal of 22112100021200 is 212000121122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84101144 + ... + 84363656.

It is an arithmetic number, because the mean of its divisors is an integer number (257321473080).

Almost surely, 2^{22112100021200} is an apocalyptic number.

22112100021200 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 22112100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30878576769600).

22112100021200 is an abundant number, since it is smaller than the sum of its proper divisors (39645053518000).

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

22112100021200 is a wasteful number, since it uses less digits than its factorization.

22112100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263054 (or 263043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22112100021200 its reverse (212000121122), we get a palindrome (22324100142322).

The spelling of 22112100021200 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, twenty-one thousand, two hundred".