120912820 has 48 divisors (see below), whose sum is σ = 294190848. Its totient is φ = 40884480.

The previous prime is 120912809. The next prime is 120912821. The reversal of 120912820 is 28219021.

It is a super-3 number, since 3×120912820³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120912821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4305 + ... + 16135.

It is an arithmetic number, because the mean of its divisors is an integer number (6128976).

Almost surely, 2^120912820 is an apocalyptic number.

120912820 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 120912820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147095424).

120912820 is an abundant number, since it is smaller than the sum of its proper divisors (173278028).

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

120912820 is a wasteful number, since it uses less digits than its factorization.

120912820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 120912820 is about 10996.0365586879. The cubic root of 120912820 is about 494.4899279326.

The spelling of 120912820 in words is "one hundred twenty million, nine hundred twelve thousand, eight hundred twenty".