120010020 has 96 divisors (see below), whose sum is σ = 368831232. Its totient is φ = 28973568.

The previous prime is 120010019. The next prime is 120010027. The reversal of 120010020 is 20010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 120009990 and 120010008.

It is not an unprimeable number, because it can be changed into a prime (120010027) 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 31 ways as a sum of consecutive naturals, for example, 39889 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^120010020 is an apocalyptic number.

120010020 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 120010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

120010020 is an abundant number, since it is smaller than the sum of its proper divisors (248821212).

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

120010020 is a wasteful number, since it uses less digits than its factorization.

120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120010020 is about 10954.9084888921. The cubic root of 120010020 is about 493.2561430645.

Adding to 120010020 its reverse (20010021), we get a palindrome (140020041).

Subtracting from 120010020 its reverse (20010021), we obtain a palindrome (99999999).

The spelling of 120010020 in words is "one hundred twenty million, ten thousand, twenty".