12145887936 has 336 divisors, whose sum is σ = 43731688000. Its totient is φ = 3202633728.

The previous prime is 12145887911. The next prime is 12145887989. The reversal of 12145887936 is 63978854121.

12145887936 is a `hidden beast` number, since 1 + 21 + 4 + 588 + 7 + 9 + 36 = 666.

12145887936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566020 + ... + 2570748.

Almost surely, 2^12145887936 is an apocalyptic number.

12145887936 is a gapful number since it is divisible by the number (16) 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 12145887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865844000).

12145887936 is an abundant number, since it is smaller than the sum of its proper divisors (31585800064).

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

12145887936 is a wasteful number, since it uses less digits than its factorization.

12145887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4754 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 12145887936 in words is "twelve billion, one hundred forty-five million, eight hundred eighty-seven thousand, nine hundred thirty-six".