120030100 has 54 divisors (see below), whose sum is σ = 272402270. Its totient is φ = 45904320.

The previous prime is 120030091. The next prime is 120030133. The reversal of 120030100 is 1030021.

It can be written as a sum of positive squares in 3 ways, for example, as 171396 + 119858704 = 414^2 + 10948^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 51766 + ... + 54034.

Almost surely, 2^120030100 is an apocalyptic number.

120030100 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 120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136201135).

120030100 is an abundant number, since it is smaller than the sum of its proper divisors (152372170).

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

120030100 is a wasteful number, since it uses less digits than its factorization.

120030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 120030100 is about 10955.8249347094. The cubic root of 120030100 is about 493.2836519648.

Adding to 120030100 its reverse (1030021), we get a palindrome (121060121).

The spelling of 120030100 in words is "one hundred twenty million, thirty thousand, one hundred".