18012933120 has 704 divisors, whose sum is σ = 72630835200. Its totient is φ = 3786080256.

The previous prime is 18012932929. The next prime is 18012933121. The reversal of 18012933120 is 2133921081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18012933121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68490109 + ... + 68490371.

It is an arithmetic number, because the mean of its divisors is an integer number (103168800).

Almost surely, 2^18012933120 is an apocalyptic number.

18012933120 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 18012933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315417600).

18012933120 is an abundant number, since it is smaller than the sum of its proper divisors (54617902080).

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

18012933120 is a wasteful number, since it uses less digits than its factorization.

18012933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 18012933120 in words is "eighteen billion, twelve million, nine hundred thirty-three thousand, one hundred twenty".