22132334433312 has 144 divisors (see below), whose sum is σ = 66008677775040. Its totient is φ = 7020865184256.

The previous prime is 22132334433283. The next prime is 22132334433343. The reversal of 22132334433312 is 21333443323122.

22132334433312 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 334 + 4 + 3 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7175362 + ... + 9785217.

It is an arithmetic number, because the mean of its divisors is an integer number (458393595660).

Almost surely, 2^{22132334433312} is an apocalyptic number.

It is an amenable number.

22132334433312 is an abundant number, since it is smaller than the sum of its proper divisors (43876343341728).

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

22132334433312 is a wasteful number, since it uses less digits than its factorization.

22132334433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16960815 (or 16960804 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 22132334433312 its reverse (21333443323122), we get a palindrome (43465777756434).

The spelling of 22132334433312 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirty-four million, four hundred thirty-three thousand, three hundred twelve".