12276149760 has 480 divisors, whose sum is σ = 49127569920. Its totient is φ = 2774974464.

The previous prime is 12276149749. The next prime is 12276149791. The reversal of 12276149760 is 6794167221.

12276149760 is a `hidden beast` number, since 1 + 2 + 27 + 614 + 9 + 7 + 6 + 0 = 666.

12276149760 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 16611471 + ... + 16612209.

It is an arithmetic number, because the mean of its divisors is an integer number (102349104).

Almost surely, 2^12276149760 is an apocalyptic number.

12276149760 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 12276149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563784960).

12276149760 is an abundant number, since it is smaller than the sum of its proper divisors (36851420160).

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

12276149760 is a wasteful number, since it uses less digits than its factorization.

12276149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12276149760 in words is "twelve billion, two hundred seventy-six million, one hundred forty-nine thousand, seven hundred sixty".