120533140 has 72 divisors (see below), whose sum is σ = 317128392. Its totient is φ = 38142720.

The previous prime is 120533113. The next prime is 120533159. The reversal of 120533140 is 41335021.

It can be written as a sum of positive squares in 4 ways, for example, as 7918596 + 112614544 = 2814^2 + 10612^2 .

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 23 ways as a sum of consecutive naturals, for example, 8010 + ... + 17470.

It is an arithmetic number, because the mean of its divisors is an integer number (4404561).

Almost surely, 2^120533140 is an apocalyptic number.

120533140 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 120533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158564196).

120533140 is an abundant number, since it is smaller than the sum of its proper divisors (196595252).

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

120533140 is a wasteful number, since it uses less digits than its factorization.

120533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 120533140 is about 10978.7585819163. The cubic root of 120533140 is about 493.9718003648.

Adding to 120533140 its reverse (41335021), we get a palindrome (161868161).

The spelling of 120533140 in words is "one hundred twenty million, five hundred thirty-three thousand, one hundred forty".