3330112021200 has 180 divisors, whose sum is σ = 11868749726028. Its totient is φ = 864029030400.

The previous prime is 3330112021177. The next prime is 3330112021219. The reversal of 3330112021200 is 21202110333.

3330112021200 is a `hidden beast` number, since 3 + 330 + 1 + 120 + 212 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 689903004816 + 2640209016384 = 830604^2 + 1624872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3330112021200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12367221 + ... + 12633620.

Almost surely, 2^{3330112021200} is an apocalyptic number.

3330112021200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330112021200 is an abundant number, since it is smaller than the sum of its proper divisors (8538637704828).

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

3330112021200 is a wasteful number, since it uses less digits than its factorization.

3330112021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000902 (or 25000888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3330112021200 its reverse (21202110333), we get a palindrome (3351314131533).

The spelling of 3330112021200 in words is "three trillion, three hundred thirty billion, one hundred twelve million, twenty-one thousand, two hundred".