33122132000 has 96 divisors (see below), whose sum is σ = 81442945584. Its totient is φ = 13238784000.

The previous prime is 33122131981. The next prime is 33122132023. The reversal of 33122132000 is 23122133.

It can be written as a sum of positive squares in 8 ways, for example, as 81072016 + 33041059984 = 9004^2 + 181772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33122132000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7489790 + ... + 7494210.

Almost surely, 2^33122132000 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 33122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40721472792).

33122132000 is an abundant number, since it is smaller than the sum of its proper divisors (48320813584).

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

33122132000 is a wasteful number, since it uses less digits than its factorization.

33122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33122132000 its reverse (23122133), we get a palindrome (33145254133).

It can be divided in two parts, 3312 and 2132000, that added together give a palindrome (2135312).

The spelling of 33122132000 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirty-two thousand".