120032010 has 128 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 26749440.

The previous prime is 120031997. The next prime is 120032021. The reversal of 120032010 is 10230021.

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 = 120031983 and 120032001.

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 63 ways as a sum of consecutive naturals, for example, 76716 + ... + 78264.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^120032010 is an apocalyptic number.

120032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

120032010 is an abundant number, since it is smaller than the sum of its proper divisors (254943990).

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

120032010 is a wasteful number, since it uses less digits than its factorization.

120032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

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

The square root of 120032010 is about 10955.9121026047. The cubic root of 120032010 is about 493.2862684384.

Adding to 120032010 its reverse (10230021), we get a palindrome (130262031).

The spelling of 120032010 in words is "one hundred twenty million, thirty-two thousand, ten".