120706820 has 24 divisors (see below), whose sum is σ = 272983704. Its totient is φ = 44568576.

The previous prime is 120706819. The next prime is 120706823. The reversal of 120706820 is 28607021.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 120648256 = 242^2 + 10984^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 120706820.

It is not an unprimeable number, because it can be changed into a prime (120706823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 231869 + ... + 232388.

It is an arithmetic number, because the mean of its divisors is an integer number (11374321).

Almost surely, 2^120706820 is an apocalyptic number.

120706820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120706820 is an abundant number, since it is smaller than the sum of its proper divisors (152276884).

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

120706820 is a wasteful number, since it uses less digits than its factorization.

120706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464279 (or 464277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 120706820 is about 10986.6655542071. The cubic root of 120706820 is about 494.2089463424.

The spelling of 120706820 in words is "one hundred twenty million, seven hundred six thousand, eight hundred twenty".