12228767861760 has 528 divisors, whose sum is σ = 42633535044672. Its totient is φ = 3240964915200.

The previous prime is 12228767861731. The next prime is 12228767861767. The reversal of 12228767861760 is 6716876782221.

It is a happy number.

12228767861760 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 7 + 6 + 7 + 8 + 617 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12228767861767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8451117357 + ... + 8451118803.

It is an arithmetic number, because the mean of its divisors is an integer number (80745331524).

Almost surely, 2^{12228767861760} is an apocalyptic number.

12228767861760 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 12228767861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316767522336).

12228767861760 is an abundant number, since it is smaller than the sum of its proper divisors (30404767182912).

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

12228767861760 is a wasteful number, since it uses less digits than its factorization.

12228767861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 12228767861760 in words is "twelve trillion, two hundred twenty-eight billion, seven hundred sixty-seven million, eight hundred sixty-one thousand, seven hundred sixty".