12310697363800 has 768 divisors, whose sum is σ = 34569216000000. Its totient is φ = 4027345920000.

The previous prime is 12310697363773. The next prime is 12310697363807. The reversal of 12310697363800 is 836379601321.

12310697363800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310697363807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24670735951 + ... + 24670736449.

It is an arithmetic number, because the mean of its divisors is an integer number (45012000000).

Almost surely, 2^{12310697363800} is an apocalyptic number.

12310697363800 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 12310697363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284608000000).

12310697363800 is an abundant number, since it is smaller than the sum of its proper divisors (22258518636200).

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

12310697363800 is a wasteful number, since it uses less digits than its factorization.

12310697363800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 12310697363800 in words is "twelve trillion, three hundred ten billion, six hundred ninety-seven million, three hundred sixty-three thousand, eight hundred".