120010032 has 80 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 39509568.

The previous prime is 120010027. The next prime is 120010043. The reversal of 120010032 is 230010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120009996 and 120010023.

It is an unprimeable number.

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, 34183 + ... + 37529.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2^120010032 is an apocalyptic number.

120010032 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 120010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

120010032 is an abundant number, since it is smaller than the sum of its proper divisors (228717648).

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

120010032 is a wasteful number, since it uses less digits than its factorization.

120010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120010032 is about 10954.9090365918. The cubic root of 120010032 is about 493.2561595050.

Adding to 120010032 its reverse (230010021), we get a palindrome (350020053).

The spelling of 120010032 in words is "one hundred twenty million, ten thousand, thirty-two".