120682380 has 288 divisors, whose sum is σ = 448422912. Its totient is φ = 23569920.

The previous prime is 120682363. The next prime is 120682391. The reversal of 120682380 is 83286021.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3892965 + ... + 3892995.

It is an arithmetic number, because the mean of its divisors is an integer number (1557024).

Almost surely, 2^120682380 is an apocalyptic number.

120682380 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 120682380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224211456).

120682380 is an abundant number, since it is smaller than the sum of its proper divisors (327740532).

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

120682380 is a wasteful number, since it uses less digits than its factorization.

120682380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 120682380 is about 10985.5532405064. The cubic root of 120682380 is about 494.1755892603.

The spelling of 120682380 in words is "one hundred twenty million, six hundred eighty-two thousand, three hundred eighty".