12229997672880 has 480 divisors, whose sum is σ = 44375422291200. Its totient is φ = 3000706394112.

The previous prime is 12229997672873. The next prime is 12229997672887. The reversal of 12229997672880 is 8827679992221.

12229997672880 is a `hidden beast` number, since 122 + 299 + 9 + 76 + 72 + 8 + 80 = 666.

12229997672880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12229997672873) and next prime (12229997672887).

It is a super-3 number, since 3×12229997672880³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12229997672799 and 12229997672808.

It is not an unprimeable number, because it can be changed into a prime (12229997672887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4558328019 + ... + 4558330701.

It is an arithmetic number, because the mean of its divisors is an integer number (92448796440).

Almost surely, 2^{12229997672880} is an apocalyptic number.

12229997672880 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 12229997672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187711145600).

12229997672880 is an abundant number, since it is smaller than the sum of its proper divisors (32145424618320).

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

12229997672880 is a wasteful number, since it uses less digits than its factorization.

12229997672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 12229997672880 in words is "twelve trillion, two hundred twenty-nine billion, nine hundred ninety-seven million, six hundred seventy-two thousand, eight hundred eighty".