12310426800 has 540 divisors, whose sum is σ = 52325181480. Its totient is φ = 2664990720.

The previous prime is 12310426763. The next prime is 12310426813. The reversal of 12310426800 is 862401321.

12310426800 is a `hidden beast` number, since 1 + 231 + 0 + 426 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3349764 + ... + 3353436.

Almost surely, 2^12310426800 is an apocalyptic number.

12310426800 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 12310426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26162590740).

12310426800 is an abundant number, since it is smaller than the sum of its proper divisors (40014754680).

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

12310426800 is a wasteful number, since it uses less digits than its factorization.

12310426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12310426800 in words is "twelve billion, three hundred ten million, four hundred twenty-six thousand, eight hundred".