120283680 has 288 divisors, whose sum is σ = 442411200. Its totient is φ = 27371520.

The previous prime is 120283679. The next prime is 120283703. The reversal of 120283680 is 86382021.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103466 + ... + 1103574.

It is an arithmetic number, because the mean of its divisors is an integer number (1536150).

Almost surely, 2^120283680 is an apocalyptic number.

120283680 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 120283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205600).

120283680 is an abundant number, since it is smaller than the sum of its proper divisors (322127520).

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

120283680 is a wasteful number, since it uses less digits than its factorization.

120283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

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

The square root of 120283680 is about 10967.3916680312. The cubic root of 120283680 is about 493.6307840147.

The spelling of 120283680 in words is "one hundred twenty million, two hundred eighty-three thousand, six hundred eighty".