120735980 has 48 divisors (see below), whose sum is σ = 262229184. Its totient is φ = 46663680.

The previous prime is 120735977. The next prime is 120736061. The reversal of 120735980 is 89537021.

It is a self number, because there is not a number n which added to its sum of digits gives 120735980.

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 15 ways as a sum of consecutive naturals, for example, 92009 + ... + 93311.

It is an arithmetic number, because the mean of its divisors is an integer number (5463108).

Almost surely, 2^120735980 is an apocalyptic number.

120735980 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 120735980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131114592).

120735980 is an abundant number, since it is smaller than the sum of its proper divisors (141493204).

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

120735980 is a wasteful number, since it uses less digits than its factorization.

120735980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 120735980 is about 10987.9925373109. The cubic root of 120735980 is about 494.2487396548.

The spelling of 120735980 in words is "one hundred twenty million, seven hundred thirty-five thousand, nine hundred eighty".