120393000 has 512 divisors, whose sum is σ = 524160000. Its totient is φ = 25401600.

The previous prime is 120392999. The next prime is 120393019. The reversal of 120393000 is 393021.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9260994 + ... + 9261006.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 2^120393000 is an apocalyptic number.

120393000 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 120393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080000).

120393000 is an abundant number, since it is smaller than the sum of its proper divisors (403767000).

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

120393000 is a wasteful number, since it uses less digits than its factorization.

120393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 120393000 is about 10972.3744011950. The cubic root of 120393000 is about 493.7802844214.

The spelling of 120393000 in words is "one hundred twenty million, three hundred ninety-three thousand".