12276614016 has 160 divisors (see below), whose sum is σ = 36629081280. Its totient is φ = 4081674240.

The previous prime is 12276613967. The next prime is 12276614027. The reversal of 12276614016 is 61041667221.

12276614016 is a `hidden beast` number, since 1 + 2 + 27 + 6 + 614 + 0 + 16 = 666.

12276614016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4736881 + ... + 4739471.

It is an arithmetic number, because the mean of its divisors is an integer number (228931758).

Almost surely, 2^12276614016 is an apocalyptic number.

12276614016 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 12276614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314540640).

12276614016 is an abundant number, since it is smaller than the sum of its proper divisors (24352467264).

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

12276614016 is an equidigital number, since it uses as much as digits as its factorization.

12276614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12276614016 in words is "twelve billion, two hundred seventy-six million, six hundred fourteen thousand, sixteen".