120456000 has 336 divisors, whose sum is σ = 494507520. Its totient is φ = 27417600.

The previous prime is 120455983. The next prime is 120456001. The reversal of 120456000 is 654021.

It is a happy number.

120456000 is a `hidden beast` number, since 1 + 20 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120456001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503881 + ... + 504119.

Almost surely, 2^120456000 is an apocalyptic number.

120456000 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 120456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247253760).

120456000 is an abundant number, since it is smaller than the sum of its proper divisors (374051520).

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

120456000 is a wasteful number, since it uses less digits than its factorization.

120456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120456000 is about 10975.2448719835. The cubic root of 120456000 is about 493.8663988780.

The spelling of 120456000 in words is "one hundred twenty million, four hundred fifty-six thousand".