12181917888 has 560 divisors, whose sum is σ = 43576386304. Its totient is φ = 3292047360.

The previous prime is 12181917767. The next prime is 12181917893. The reversal of 12181917888 is 88871918121.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 57734103 + ... + 57734313.

Almost surely, 2^12181917888 is an apocalyptic number.

12181917888 is a gapful number since it is divisible by the number (18) 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 12181917888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788193152).

12181917888 is an abundant number, since it is smaller than the sum of its proper divisors (31394468416).

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

12181917888 is a wasteful number, since it uses less digits than its factorization.

12181917888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its digits is 516096, while the sum is 54.

The spelling of 12181917888 in words is "twelve billion, one hundred eighty-one million, nine hundred seventeen thousand, eight hundred eighty-eight".