120045000 has 160 divisors (see below), whose sum is σ = 384626880. Its totient is φ = 31200000.

The previous prime is 120044993. The next prime is 120045043. The reversal of 120045000 is 540021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 794925 + ... + 795075.

It is an arithmetic number, because the mean of its divisors is an integer number (2403918).

Almost surely, 2^120045000 is an apocalyptic number.

120045000 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 120045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192313440).

120045000 is an abundant number, since it is smaller than the sum of its proper divisors (264581880).

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

120045000 is a wasteful number, since it uses less digits than its factorization.

120045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 120045000 is about 10956.5049171714. The cubic root of 120045000 is about 493.3040624626.

Adding to 120045000 its reverse (540021), we get a palindrome (120585021).

The spelling of 120045000 in words is "one hundred twenty million, forty-five thousand".