3012132220200 has 384 divisors, whose sum is σ = 10585604620800. Its totient is φ = 786982210560.

The previous prime is 3012132220177. The next prime is 3012132220217. The reversal of 3012132220200 is 20222312103.

3012132220200 is a `hidden beast` number, since 3 + 0 + 121 + 322 + 20 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216646449 + ... + 216660351.

It is an arithmetic number, because the mean of its divisors is an integer number (27566678700).

Almost surely, 2^{3012132220200} is an apocalyptic number.

3012132220200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012132220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292802310400).

3012132220200 is an abundant number, since it is smaller than the sum of its proper divisors (7573472400600).

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

3012132220200 is a wasteful number, since it uses less digits than its factorization.

3012132220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3012132220200 its reverse (20222312103), we get a palindrome (3032354532303).

The spelling of 3012132220200 in words is "three trillion, twelve billion, one hundred thirty-two million, two hundred twenty thousand, two hundred".