12034117680 has 160 divisors (see below), whose sum is σ = 40574278080. Its totient is φ = 2932838400.

The previous prime is 12034117657. The next prime is 12034117703. The reversal of 12034117680 is 8671143021.

It is an interprime number because it is at equal distance from previous prime (12034117657) and next prime (12034117703).

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, 296026 + ... + 334214.

It is an arithmetic number, because the mean of its divisors is an integer number (253589238).

Almost surely, 2^12034117680 is an apocalyptic number.

12034117680 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 12034117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287139040).

12034117680 is an abundant number, since it is smaller than the sum of its proper divisors (28540160400).

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

12034117680 is a wasteful number, since it uses less digits than its factorization.

12034117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38319 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 12034117680 in words is "twelve billion, thirty-four million, one hundred seventeen thousand, six hundred eighty".