33122122220232 has 128 divisors (see below), whose sum is σ = 92109013920000. Its totient is φ = 11028339399168.

The previous prime is 33122122220207. The next prime is 33122122220237. The reversal of 33122122220232 is 23202222122133.

33122122220232 is a `hidden beast` number, since 3 + 312 + 2 + 122 + 220 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×33122122220232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33122122220196 and 33122122220205.

It is not an unprimeable number, because it can be changed into a prime (33122122220237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845860398 + ... + 845899554.

It is an arithmetic number, because the mean of its divisors is an integer number (719601671250).

Almost surely, 2^{33122122220232} is an apocalyptic number.

It is an amenable number.

33122122220232 is an abundant number, since it is smaller than the sum of its proper divisors (58986891699768).

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

33122122220232 is a wasteful number, since it uses less digits than its factorization.

33122122220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43460 (or 43450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33122122220232 its reverse (23202222122133), we get a palindrome (56324344342365).

The spelling of 33122122220232 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred thirty-two".