120980580 has 48 divisors (see below), whose sum is σ = 387139200. Its totient is φ = 27652608.

The previous prime is 120980567. The next prime is 120980597. The reversal of 120980580 is 85089021.

It is a happy number.

It is a super-3 number, since 3×120980580³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143605 + ... + 144444.

It is an arithmetic number, because the mean of its divisors is an integer number (8065400).

Almost surely, 2^120980580 is an apocalyptic number.

120980580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120980580 is an abundant number, since it is smaller than the sum of its proper divisors (266158620).

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

120980580 is a wasteful number, since it uses less digits than its factorization.

120980580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288068 (or 288066 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 120980580 is about 10999.1172373059. The cubic root of 120980580 is about 494.5822820226.

It can be divided in two parts, 120 and 980580, that added together give a triangular number (980700 = T₁₄₀₀).

The spelling of 120980580 in words is "one hundred twenty million, nine hundred eighty thousand, five hundred eighty".