12334682880 has 432 divisors, whose sum is σ = 47971175616. Its totient is φ = 2903408640.

The previous prime is 12334682879. The next prime is 12334682881. The reversal of 12334682880 is 8828643321.

12334682880 is a `hidden beast` number, since 1 + 23 + 346 + 8 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12334682879) and next prime (12334682881).

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

It is not an unprimeable number, because it can be changed into a prime (12334682881) 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, 3442690 + ... + 3446270.

It is an arithmetic number, because the mean of its divisors is an integer number (111044388).

Almost surely, 2^12334682880 is an apocalyptic number.

12334682880 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 12334682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985587808).

12334682880 is an abundant number, since it is smaller than the sum of its proper divisors (35636492736).

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

12334682880 is a wasteful number, since it uses less digits than its factorization.

12334682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12334682880 in words is "twelve billion, three hundred thirty-four million, six hundred eighty-two thousand, eight hundred eighty".