22132111201200 has 4320 divisors, whose sum is σ = 112596635354112. Its totient is φ = 3946973184000.

The previous prime is 22132111201181. The next prime is 22132111201201. The reversal of 22132111201200 is 210211123122.

22132111201200 is a `hidden beast` number, since 2 + 21 + 321 + 1 + 120 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22132111201201) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 21466644685 + ... + 21466645715.

Almost surely, 2^{22132111201200} is an apocalyptic number.

22132111201200 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 22132111201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56298317677056).

22132111201200 is an abundant number, since it is smaller than the sum of its proper divisors (90464524152912).

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

22132111201200 is a wasteful number, since it uses less digits than its factorization.

22132111201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22132111201200 its reverse (210211123122), we get a palindrome (22342322324322).

The spelling of 22132111201200 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred eleven million, two hundred one thousand, two hundred".