120417000 has 256 divisors, whose sum is σ = 424569600. Its totient is φ = 28160000.

The previous prime is 120416993. The next prime is 120417013. The reversal of 120417000 is 714021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1352956 + ... + 1353044.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^120417000 is an apocalyptic number.

120417000 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 120417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

120417000 is an abundant number, since it is smaller than the sum of its proper divisors (304152600).

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

120417000 is a wasteful number, since it uses less digits than its factorization.

120417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 120417000 is about 10973.4680024138. The cubic root of 120417000 is about 493.8130934702.

The spelling of 120417000 in words is "one hundred twenty million, four hundred seventeen thousand".