120756000 has 192 divisors, whose sum is σ = 410417280. Its totient is φ = 31001600.

The previous prime is 120755969. The next prime is 120756011. The reversal of 120756000 is 657021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347827 + ... + 348173.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2^120756000 is an apocalyptic number.

120756000 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 120756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

120756000 is an abundant number, since it is smaller than the sum of its proper divisors (289661280).

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

120756000 is a wasteful number, since it uses less digits than its factorization.

120756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120756000 is about 10988.9034939797. The cubic root of 120756000 is about 494.2760563196.

The spelling of 120756000 in words is "one hundred twenty million, seven hundred fifty-six thousand".