12340876800 has 480 divisors, whose sum is σ = 48126633984. Its totient is φ = 2727936000.

The previous prime is 12340876783. The next prime is 12340876813. The reversal of 12340876800 is 867804321.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332060 + ... + 8333540.

Almost surely, 2^12340876800 is an apocalyptic number.

12340876800 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 12340876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063316992).

12340876800 is an abundant number, since it is smaller than the sum of its proper divisors (35785757184).

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

12340876800 is a wasteful number, since it uses less digits than its factorization.

12340876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12340876800 in words is "twelve billion, three hundred forty million, eight hundred seventy-six thousand, eight hundred".