130412400 has 60 divisors (see below), whose sum is σ = 417758232. Its totient is φ = 34776320.

The previous prime is 130412393. The next prime is 130412453. The reversal of 130412400 is 4214031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130412400.

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 11 ways as a sum of consecutive naturals, for example, 53139 + ... + 55538.

Almost surely, 2^130412400 is an apocalyptic number.

130412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130412400 is an abundant number, since it is smaller than the sum of its proper divisors (287345832).

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

130412400 is a wasteful number, since it uses less digits than its factorization.

130412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108698 (or 108687 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130412400 is about 11419.8248673086. The cubic root of 130412400 is about 507.1148120254.

Adding to 130412400 its reverse (4214031), we get a palindrome (134626431).

The spelling of 130412400 in words is "one hundred thirty million, four hundred twelve thousand, four hundred".