33212412000400 has 60 divisors (see below), whose sum is σ = 79934548294512. Its totient is φ = 13261367969920.

The previous prime is 33212412000377. The next prime is 33212412000407. The reversal of 33212412000400 is 400021421233.

It is a super-2 number, since 2×33212412000400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33212412000407) 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, 73514614 + ... + 73965013.

Almost surely, 2^{33212412000400} is an apocalyptic number.

It is an amenable number.

33212412000400 is an abundant number, since it is smaller than the sum of its proper divisors (46722136294112).

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

33212412000400 is a wasteful number, since it uses less digits than its factorization.

33212412000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147480208 (or 147480197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33212412000400 its reverse (400021421233), we get a palindrome (33612433421633).

The spelling of 33212412000400 in words is "thirty-three trillion, two hundred twelve billion, four hundred twelve million, four hundred", and thus it is an aban number.