12150776736 has 192 divisors, whose sum is σ = 40661913600. Its totient is φ = 3457997568.

The previous prime is 12150776731. The next prime is 12150776747. The reversal of 12150776736 is 63767705121.

12150776736 is a `hidden beast` number, since 1 + 2 + 1 + 507 + 76 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12150776691 and 12150776700.

It is not an unprimeable number, because it can be changed into a prime (12150776731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586805 + ... + 1594443.

It is an arithmetic number, because the mean of its divisors is an integer number (211780800).

Almost surely, 2^12150776736 is an apocalyptic number.

12150776736 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 12150776736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330956800).

12150776736 is an abundant number, since it is smaller than the sum of its proper divisors (28511136864).

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

12150776736 is a wasteful number, since it uses less digits than its factorization.

12150776736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 12150776736 in words is "twelve billion, one hundred fifty million, seven hundred seventy-six thousand, seven hundred thirty-six".