120815190 has 48 divisors (see below), whose sum is σ = 317253456. Its totient is φ = 31896000.

The previous prime is 120815087. The next prime is 120815203. The reversal of 120815190 is 91518021.

It is a super-2 number, since 2×120815190² = 29192620269472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2445 + ... + 15735.

It is an arithmetic number, because the mean of its divisors is an integer number (6609447).

Almost surely, 2^120815190 is an apocalyptic number.

120815190 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 120815190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158626728).

120815190 is an abundant number, since it is smaller than the sum of its proper divisors (196438266).

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

120815190 is a wasteful number, since it uses less digits than its factorization.

120815190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 120815190 is about 10991.5963353828. The cubic root of 120815190 is about 494.3568015717.

It can be divided in two parts, 12081 and 5190, that added together give a palindrome (17271).

The spelling of 120815190 in words is "one hundred twenty million, eight hundred fifteen thousand, one hundred ninety".