12276226560 has 320 divisors, whose sum is σ = 43309728000. Its totient is φ = 2947153920.

The previous prime is 12276226537. The next prime is 12276226577. The reversal of 12276226560 is 6562267221.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4091941 + ... + 4094939.

It is an arithmetic number, because the mean of its divisors is an integer number (135342900).

Almost surely, 2^12276226560 is an apocalyptic number.

12276226560 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 12276226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654864000).

12276226560 is an abundant number, since it is smaller than the sum of its proper divisors (31033501440).

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

12276226560 is a wasteful number, since it uses less digits than its factorization.

12276226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12276226560 in words is "twelve billion, two hundred seventy-six million, two hundred twenty-six thousand, five hundred sixty".