22133231131200 has 168 divisors, whose sum is σ = 82989077234112. Its totient is φ = 5059024250880.

The previous prime is 22133231131171. The next prime is 22133231131213. The reversal of 22133231131200 is 213113233122.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×22133231131200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 329329959 + ... + 329397158.

It is an arithmetic number, because the mean of its divisors is an integer number (493982602584).

Almost surely, 2^{22133231131200} is an apocalyptic number.

22133231131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133231131200 is an abundant number, since it is smaller than the sum of its proper divisors (60855846102912).

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

22133231131200 is a wasteful number, since it uses less digits than its factorization.

22133231131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658727149 (or 658727134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22133231131200 its reverse (213113233122), we get a palindrome (22346344364322).

The spelling of 22133231131200 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred".