120642480 has 320 divisors, whose sum is σ = 485683200. Its totient is φ = 26956800.

The previous prime is 120642479. The next prime is 120642493. The reversal of 120642480 is 84246021.

120642480 is a `hidden beast` number, since 12 + 0 + 642 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194430 + ... + 1194530.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2^120642480 is an apocalyptic number.

120642480 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 120642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

120642480 is an abundant number, since it is smaller than the sum of its proper divisors (365040720).

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

120642480 is a wasteful number, since it uses less digits than its factorization.

120642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120642480 is about 10983.7370689579. The cubic root of 120642480 is about 494.1211218243.

The spelling of 120642480 in words is "one hundred twenty million, six hundred forty-two thousand, four hundred eighty".