3012112312200 has 216 divisors, whose sum is σ = 10476527055150. Its totient is φ = 775531975680.

The previous prime is 3012112312193. The next prime is 3012112312211. The reversal of 3012112312200 is 22132112103.

3012112312200 is a `hidden beast` number, since 3 + 0 + 1 + 211 + 231 + 220 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 52343033796 + 2959769278404 = 228786^2 + 1720398^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 518916 + ... + 2508684.

Almost surely, 2^{3012112312200} is an apocalyptic number.

3012112312200 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 3012112312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238263527575).

3012112312200 is an abundant number, since it is smaller than the sum of its proper divisors (7464414742950).

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

3012112312200 is a wasteful number, since it uses less digits than its factorization.

3012112312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989849 (or 1989808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012112312200 its reverse (22132112103), we get a palindrome (3034244424303).

The spelling of 3012112312200 in words is "three trillion, twelve billion, one hundred twelve million, three hundred twelve thousand, two hundred".