130004220024 has 128 divisors (see below), whose sum is σ = 412820928000. Its totient is φ = 37134243072.

The previous prime is 130004219963. The next prime is 130004220029. The reversal of 130004220024 is 420022400031.

130004220024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130004219979 and 130004220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130004220029) 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, 7238047 + ... + 7255985.

It is an arithmetic number, because the mean of its divisors is an integer number (3225163500).

Almost surely, 2^130004220024 is an apocalyptic number.

130004220024 is a gapful number since it is divisible by the number (14) 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 130004220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206410464000).

130004220024 is an abundant number, since it is smaller than the sum of its proper divisors (282816707976).

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

130004220024 is a wasteful number, since it uses less digits than its factorization.

130004220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22754 (or 22744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 130004220024 its reverse (420022400031), we get a palindrome (550026620055).

The spelling of 130004220024 in words is "one hundred thirty billion, four million, two hundred twenty thousand, twenty-four".