130304024000 has 224 divisors, whose sum is σ = 328155190272. Its totient is φ = 51246720000.

The previous prime is 130304023957. The next prime is 130304024017. The reversal of 130304024000 is 420403031.

It is a self number, because there is not a number n which added to its sum of digits gives 130304024000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206503685 + ... + 206504315.

It is an arithmetic number, because the mean of its divisors is an integer number (1464978528).

Almost surely, 2^130304024000 is an apocalyptic number.

130304024000 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 130304024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164077595136).

130304024000 is an abundant number, since it is smaller than the sum of its proper divisors (197851166272).

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

130304024000 is an equidigital number, since it uses as much as digits as its factorization.

130304024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 130304024000 its reverse (420403031), we get a palindrome (130724427031).

The spelling of 130304024000 in words is "one hundred thirty billion, three hundred four million, twenty-four thousand".