120761040 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 30384640.

The previous prime is 120761009. The next prime is 120761041. The reversal of 120761040 is 40167021.

It is a junction number, because it is equal to n+sod(n) for n = 120760998 and 120761016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120761041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 723037 + ... + 723203.

Almost surely, 2^120761040 is an apocalyptic number.

120761040 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 120761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

120761040 is an abundant number, since it is smaller than the sum of its proper divisors (275213616).

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

120761040 is a wasteful number, since it uses less digits than its factorization.

120761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 120761040 is about 10989.1328138302. The cubic root of 120761040 is about 494.2829327665.

The spelling of 120761040 in words is "one hundred twenty million, seven hundred sixty-one thousand, forty".