6130218931200 has 4752 divisors, whose sum is σ = 30434383324800. Its totient is φ = 1217325957120.

The previous prime is 6130218931169. The next prime is 6130218931223. The reversal of 6130218931200 is 21398120316.

6130218931200 is a `hidden beast` number, since 61 + 302 + 1 + 8 + 93 + 1 + 200 = 666.

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

It is a congruent number.

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, 360601113592 + ... + 360601113608.

Almost surely, 2^{6130218931200} is an apocalyptic number.

6130218931200 is a gapful number since it is divisible by the number (60) 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 6130218931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217191662400).

6130218931200 is an abundant number, since it is smaller than the sum of its proper divisors (24304164393600).

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

6130218931200 is a wasteful number, since it uses less digits than its factorization.

6130218931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 6130218931200 in words is "six trillion, one hundred thirty billion, two hundred eighteen million, nine hundred thirty-one thousand, two hundred".