18750120 has 128 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 4700160.

The previous prime is 18750113. The next prime is 18750139. The reversal of 18750120 is 2105781.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181989 + ... + 182091.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^18750120 is an apocalyptic number.

18750120 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 18750120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

18750120 is an abundant number, since it is smaller than the sum of its proper divisors (41004120).

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

18750120 is a wasteful number, since it uses less digits than its factorization.

18750120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 18750120 is about 4330.1408753065. The cubic root of 18750120 is about 265.6652090457.

It can be divided in two parts, 18750 and 120, that multiplied together give a square (2250000 = 1500²).

The spelling of 18750120 in words is "eighteen million, seven hundred fifty thousand, one hundred twenty".