130219891200 has 2160 divisors, whose sum is σ = 609102711360. Its totient is φ = 26341539840.

The previous prime is 130219891171. The next prime is 130219891213. The reversal of 130219891200 is 2198912031.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2207116771 + ... + 2207116829.

It is an arithmetic number, because the mean of its divisors is an integer number (281991996).

Almost surely, 2^130219891200 is an apocalyptic number.

130219891200 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 130219891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304551355680).

130219891200 is an abundant number, since it is smaller than the sum of its proper divisors (478882820160).

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

130219891200 is a wasteful number, since it uses less digits than its factorization.

130219891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 130219891200 in words is "one hundred thirty billion, two hundred nineteen million, eight hundred ninety-one thousand, two hundred".