130011991200 has 1728 divisors, whose sum is σ = 601653491712. Its totient is φ = 25679462400.

The previous prime is 130011991183. The next prime is 130011991229. The reversal of 130011991200 is 2199110031.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 751514314 + ... + 751514486.

It is an arithmetic number, because the mean of its divisors is an integer number (348179104).

Almost surely, 2^130011991200 is an apocalyptic number.

130011991200 is a gapful number since it is divisible by the number (10) 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 130011991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300826745856).

130011991200 is an abundant number, since it is smaller than the sum of its proper divisors (471641500512).

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

130011991200 is a wasteful number, since it uses less digits than its factorization.

130011991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

It can be divided in two parts, 130011 and 991200, that added together give a palindrome (1121211).

The spelling of 130011991200 in words is "one hundred thirty billion, eleven million, nine hundred ninety-one thousand, two hundred".