12181184870400 has 5184 divisors, whose sum is σ = 59735828224800. Its totient is φ = 2434651914240.

The previous prime is 12181184870389. The next prime is 12181184870441. The reversal of 12181184870400 is 407848118121.

12181184870400 is a `hidden beast` number, since 1 + 2 + 18 + 118 + 487 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 229833676774 + ... + 229833676826.

Almost surely, 2^{12181184870400} is an apocalyptic number.

12181184870400 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 12181184870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29867914112400).

12181184870400 is an abundant number, since it is smaller than the sum of its proper divisors (47554643354400).

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

12181184870400 is a wasteful number, since it uses less digits than its factorization.

12181184870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 12181184870400 in words is "twelve trillion, one hundred eighty-one billion, one hundred eighty-four million, eight hundred seventy thousand, four hundred".