12018481171200 has 1296 divisors, whose sum is σ = 49597892198400. Its totient is φ = 2719806750720.

The previous prime is 12018481171171. The next prime is 12018481171253. The reversal of 12018481171200 is 217118481021.

12018481171200 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 481 + 171 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31379846209 + ... + 31379846591.

Almost surely, 2^{12018481171200} is an apocalyptic number.

12018481171200 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 12018481171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798946099200).

12018481171200 is an abundant number, since it is smaller than the sum of its proper divisors (37579411027200).

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

12018481171200 is a wasteful number, since it uses less digits than its factorization.

12018481171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 12018481171200 in words is "twelve trillion, eighteen billion, four hundred eighty-one million, one hundred seventy-one thousand, two hundred".