120817820 has 48 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 47170560.

The previous prime is 120817783. The next prime is 120817843. The reversal of 120817820 is 28718021.

It is a congruent number.

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, 203444 + ... + 204036.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^120817820 is an apocalyptic number.

120817820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120817820 is an abundant number, since it is smaller than the sum of its proper divisors (139040548).

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

120817820 is a wasteful number, since it uses less digits than its factorization.

120817820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 120817820 is about 10991.7159715851. The cubic root of 120817820 is about 494.3603887281.

The spelling of 120817820 in words is "one hundred twenty million, eight hundred seventeen thousand, eight hundred twenty".