22122532012032 has 192 divisors, whose sum is σ = 64278123633360. Its totient is φ = 7331535126528.

The previous prime is 22122532012001. The next prime is 22122532012039. The reversal of 22122532012032 is 23021023522122.

22122532012032 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 532 + 0 + 120 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×22122532012032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22122532011987 and 22122532012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122532012039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50802973 + ... + 51236579.

Almost surely, 2^{22122532012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122532012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32139061816680).

22122532012032 is an abundant number, since it is smaller than the sum of its proper divisors (42155591621328).

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

22122532012032 is an equidigital number, since it uses as much as digits as its factorization.

22122532012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433816 (or 433785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22122532012032 its reverse (23021023522122), we get a palindrome (45143555534154).

The spelling of 22122532012032 in words is "twenty-two trillion, one hundred twenty-two billion, five hundred thirty-two million, twelve thousand, thirty-two".