12159987840 has 2048 divisors, whose sum is σ = 62512128000. Its totient is φ = 2149908480.

The previous prime is 12159987779. The next prime is 12159987907. The reversal of 12159987840 is 4878995121.

It is a happy number.

12159987840 is a `hidden beast` number, since 1 + 2 + 1 + 599 + 8 + 7 + 8 + 40 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 328648302 + ... + 328648338.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 2^12159987840 is an apocalyptic number.

12159987840 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 12159987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064000).

12159987840 is an abundant number, since it is smaller than the sum of its proper divisors (50352140160).

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

12159987840 is a wasteful number, since it uses less digits than its factorization.

12159987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

It can be divided in two parts, 12159 and 987840, that added together give a palindrome (999999).

The spelling of 12159987840 in words is "twelve billion, one hundred fifty-nine million, nine hundred eighty-seven thousand, eight hundred forty".