3201212122400 has 72 divisors (see below), whose sum is σ = 7815406906944. Its totient is φ = 1280411475200.

The previous prime is 3201212122379. The next prime is 3201212122453. The reversal of 3201212122400 is 42212121023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15119669 + ... + 15329931.

It is an arithmetic number, because the mean of its divisors is an integer number (108547318152).

Almost surely, 2^{3201212122400} is an apocalyptic number.

It is an amenable number.

3201212122400 is an abundant number, since it is smaller than the sum of its proper divisors (4614194784544).

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

3201212122400 is a wasteful number, since it uses less digits than its factorization.

3201212122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229314 (or 229301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3201212122400 its reverse (42212121023), we get a palindrome (3243424243423).

The spelling of 3201212122400 in words is "three trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, four hundred".