130412320 has 48 divisors (see below), whose sum is σ = 309105720. Its totient is φ = 51994624.

The previous prime is 130412299. The next prime is 130412341. The reversal of 130412320 is 23214031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130412299) and next prime (130412341).

It can be written as a sum of positive squares in 4 ways, for example, as 116899344 + 13512976 = 10812^2 + 3676^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130412294 and 130412303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55326 + ... + 57634.

Almost surely, 2^130412320 is an apocalyptic number.

130412320 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 130412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154552860).

130412320 is an abundant number, since it is smaller than the sum of its proper divisors (178693400).

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

130412320 is a wasteful number, since it uses less digits than its factorization.

130412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130412320 is about 11419.8213646274. The cubic root of 130412320 is about 507.1147083308.

Adding to 130412320 its reverse (23214031), we get a palindrome (153626351).

The spelling of 130412320 in words is "one hundred thirty million, four hundred twelve thousand, three hundred twenty".