3116111884200 has 1728 divisors, whose sum is σ = 13166337300480. Its totient is φ = 645580108800.

The previous prime is 3116111884163. The next prime is 3116111884261. The reversal of 3116111884200 is 24881116113.

3116111884200 is a `hidden beast` number, since 3 + 1 + 1 + 611 + 18 + 8 + 4 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18659352517 + ... + 18659352683.

It is an arithmetic number, because the mean of its divisors is an integer number (7619408160).

Almost surely, 2^{3116111884200} is an apocalyptic number.

3116111884200 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 3116111884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583168650240).

3116111884200 is an abundant number, since it is smaller than the sum of its proper divisors (10050225416280).

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

3116111884200 is a wasteful number, since it uses less digits than its factorization.

3116111884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 3116111884200 in words is "three trillion, one hundred sixteen billion, one hundred eleven million, eight hundred eighty-four thousand, two hundred".