3212100111200 has 144 divisors (see below), whose sum is σ = 8129560768560. Its totient is φ = 1237840128000.

The previous prime is 3212100111193. The next prime is 3212100111221. The reversal of 3212100111200 is 21110012123.

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, 10545035 + ... + 10845365.

It is an arithmetic number, because the mean of its divisors is an integer number (56455283115).

Almost surely, 2^{3212100111200} 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 3212100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064780384280).

3212100111200 is an abundant number, since it is smaller than the sum of its proper divisors (4917460657360).

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

3212100111200 is a wasteful number, since it uses less digits than its factorization.

3212100111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300841 (or 300828 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 3212100111200 its reverse (21110012123), we get a palindrome (3233210123323).

The spelling of 3212100111200 in words is "three trillion, two hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred".