12465868800 has 1248 divisors, whose sum is σ = 56163262464. Its totient is φ = 2359296000.

The previous prime is 12465868777. The next prime is 12465868813. The reversal of 12465868800 is 886856421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12465868800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402124785 + ... + 402124815.

Almost surely, 2^12465868800 is an apocalyptic number.

12465868800 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 12465868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081631232).

12465868800 is an abundant number, since it is smaller than the sum of its proper divisors (43697393664).

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

12465868800 is a wasteful number, since it uses less digits than its factorization.

12465868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 12465868800 in words is "twelve billion, four hundred sixty-five million, eight hundred sixty-eight thousand, eight hundred".