12227664960 has 448 divisors, whose sum is σ = 49615587840. Its totient is φ = 2776965120.

The previous prime is 12227664931. The next prime is 12227664997. The reversal of 12227664960 is 6946672221.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10946322 + ... + 10947438.

It is an arithmetic number, because the mean of its divisors is an integer number (110749080).

Almost surely, 2^12227664960 is an apocalyptic number.

12227664960 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 12227664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807793920).

12227664960 is an abundant number, since it is smaller than the sum of its proper divisors (37387922880).

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

12227664960 is a wasteful number, since it uses less digits than its factorization.

12227664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12227664960 in words is "twelve billion, two hundred twenty-seven million, six hundred sixty-four thousand, nine hundred sixty".