130024020 has 96 divisors (see below), whose sum is σ = 417731328. Its totient is φ = 29601792.

The previous prime is 130024009. The next prime is 130024021. The reversal of 130024020 is 20420031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130023987 and 130024005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130024021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147822 + ... + 148698.

It is an arithmetic number, because the mean of its divisors is an integer number (4351368).

Almost surely, 2^130024020 is an apocalyptic number.

130024020 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 130024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208865664).

130024020 is an abundant number, since it is smaller than the sum of its proper divisors (287707308).

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

130024020 is a wasteful number, since it uses less digits than its factorization.

130024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 130024020 is about 11402.8075490205. The cubic root of 130024020 is about 506.6109001026.

Adding to 130024020 its reverse (20420031), we get a palindrome (150444051).

The spelling of 130024020 in words is "one hundred thirty million, twenty-four thousand, twenty".