130221834192 has 320 divisors, whose sum is σ = 386530816000. Its totient is φ = 41962033152.

The previous prime is 130221834179. The next prime is 130221834229. The reversal of 130221834192 is 291438122031.

130221834192 is a `hidden beast` number, since 1 + 3 + 0 + 221 + 8 + 341 + 92 = 666.

It is a super-2 number, since 2×130221834192² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 460147683 + ... + 460147965.

It is an arithmetic number, because the mean of its divisors is an integer number (1207908800).

Almost surely, 2^130221834192 is an apocalyptic number.

130221834192 is a gapful number since it is divisible by the number (12) 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 130221834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193265408000).

130221834192 is an abundant number, since it is smaller than the sum of its proper divisors (256308981808).

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

130221834192 is a wasteful number, since it uses less digits than its factorization.

130221834192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 130221834192 in words is "one hundred thirty billion, two hundred twenty-one million, eight hundred thirty-four thousand, one hundred ninety-two".