10122322133232 has 120 divisors (see below), whose sum is σ = 28474574336000. Its totient is φ = 3356706697344.

The previous prime is 10122322133213. The next prime is 10122322133293. The reversal of 10122322133232 is 23233122322101.

10122322133232 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 322 + 1 + 332 + 3 + 2 = 666.

It is a super-2 number, since 2×10122322133232² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122322133196 and 10122322133205.

It is a congruent number.

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, 270465273 + ... + 270502695.

Almost surely, 2^{10122322133232} is an apocalyptic number.

10122322133232 is a gapful number since it is divisible by the number (12) 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 10122322133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237287168000).

10122322133232 is an abundant number, since it is smaller than the sum of its proper divisors (18352252202768).

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

10122322133232 is a wasteful number, since it uses less digits than its factorization.

10122322133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47075 (or 47066 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10122322133232 its reverse (23233122322101), we get a palindrome (33355444455333).

The spelling of 10122322133232 in words is "ten trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-two".