12446940105600 has 1152 divisors, whose sum is σ = 55462548503040. Its totient is φ = 2387404800000.

The previous prime is 12446940105563. The next prime is 12446940105629. The reversal of 12446940105600 is 650104964421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105646725 + ... + 105764475.

Almost surely, 2^{12446940105600} is an apocalyptic number.

12446940105600 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 12446940105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27731274251520).

12446940105600 is an abundant number, since it is smaller than the sum of its proper divisors (43015608397440).

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

12446940105600 is a wasteful number, since it uses less digits than its factorization.

12446940105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117820 (or 117792 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 12446940105600 in words is "twelve trillion, four hundred forty-six billion, nine hundred forty million, one hundred five thousand, six hundred".