130120032 has 96 divisors (see below), whose sum is σ = 392539392. Its totient is φ = 36969984.

The previous prime is 130120007. The next prime is 130120033. The reversal of 130120032 is 230021031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152118 + ... + 152970.

It is an arithmetic number, because the mean of its divisors is an integer number (4088952).

Almost surely, 2^130120032 is an apocalyptic number.

130120032 is a gapful number since it is divisible by the number (12) 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 130120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196269696).

130120032 is an abundant number, since it is smaller than the sum of its proper divisors (262419360).

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

130120032 is a wasteful number, since it uses less digits than its factorization.

130120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130120032 is about 11407.0167879249. The cubic root of 130120032 is about 506.7355661919.

Adding to 130120032 its reverse (230021031), we get a palindrome (360141063).

Subtracting 130120032 from its reverse (230021031), we obtain a palindrome (99900999).

The spelling of 130120032 in words is "one hundred thirty million, one hundred twenty thousand, thirty-two".