18123225120 has 1440 divisors, whose sum is σ = 87208095744. Its totient is φ = 3448811520.

The previous prime is 18123225073. The next prime is 18123225137. The reversal of 18123225120 is 2152232181.

18123225120 is a `hidden beast` number, since 1 + 8 + 123 + 22 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142702497 + ... + 142702623.

Almost surely, 2^18123225120 is an apocalyptic number.

18123225120 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 18123225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43604047872).

18123225120 is an abundant number, since it is smaller than the sum of its proper divisors (69084870624).

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

18123225120 is a wasteful number, since it uses less digits than its factorization.

18123225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 18123225120 in words is "eighteen billion, one hundred twenty-three million, two hundred twenty-five thousand, one hundred twenty".