120820980 has 48 divisors (see below), whose sum is σ = 386628480. Its totient is φ = 27616128.

The previous prime is 120820963. The next prime is 120820991. The reversal of 120820980 is 89028021.

120820980 = 216² + 217² + ... + 719².

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 143415 + ... + 144254.

It is an arithmetic number, because the mean of its divisors is an integer number (8054760).

Almost surely, 2^120820980 is an apocalyptic number.

120820980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120820980 is an abundant number, since it is smaller than the sum of its proper divisors (265807500).

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

120820980 is a wasteful number, since it uses less digits than its factorization.

120820980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287688 (or 287686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 120820980 is about 10991.8597152620. The cubic root of 120820980 is about 494.3646987027.

The spelling of 120820980 in words is "one hundred twenty million, eight hundred twenty thousand, nine hundred eighty".