120605140 has 48 divisors (see below), whose sum is σ = 269514000. Its totient is φ = 45176832.

The previous prime is 120605137. The next prime is 120605197. The reversal of 120605140 is 41506021.

It can be written as a sum of positive squares in 8 ways, for example, as 7650756 + 112954384 = 2766^2 + 10628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77086 + ... + 78634.

It is an arithmetic number, because the mean of its divisors is an integer number (5614875).

Almost surely, 2^120605140 is an apocalyptic number.

120605140 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 120605140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134757000).

120605140 is an abundant number, since it is smaller than the sum of its proper divisors (148908860).

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

120605140 is a wasteful number, since it uses less digits than its factorization.

120605140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 120605140 is about 10982.0371516399. The cubic root of 120605140 is about 494.0701381615.

The spelling of 120605140 in words is "one hundred twenty million, six hundred five thousand, one hundred forty".