120767140 has 48 divisors (see below), whose sum is σ = 279805680. Its totient is φ = 43499520.

The previous prime is 120767117. The next prime is 120767147. The reversal of 120767140 is 41767021.

It can be written as a sum of positive squares in 8 ways, for example, as 41165056 + 79602084 = 6416^2 + 8922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120767099 and 120767108.

It is not an unprimeable number, because it can be changed into a prime (120767147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4996 + ... + 16324.

It is an arithmetic number, because the mean of its divisors is an integer number (5829285).

Almost surely, 2^120767140 is an apocalyptic number.

120767140 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 120767140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139902840).

120767140 is an abundant number, since it is smaller than the sum of its proper divisors (159038540).

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

120767140 is a wasteful number, since it uses less digits than its factorization.

120767140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 120767140 is about 10989.4103572485. The cubic root of 120767140 is about 494.2912551944.

The spelling of 120767140 in words is "one hundred twenty million, seven hundred sixty-seven thousand, one hundred forty".