12444889293200 has 480 divisors, whose sum is σ = 37818726446592. Its totient is φ = 3830040576000.

The previous prime is 12444889293173. The next prime is 12444889293253. The reversal of 12444889293200 is 239298844421.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 464122994 + ... + 464149806.

Almost surely, 2^{12444889293200} is an apocalyptic number.

12444889293200 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 12444889293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909363223296).

12444889293200 is an abundant number, since it is smaller than the sum of its proper divisors (25373837153392).

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

12444889293200 is a wasteful number, since it uses less digits than its factorization.

12444889293200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27203 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 12444889293200 in words is "twelve trillion, four hundred forty-four billion, eight hundred eighty-nine million, two hundred ninety-three thousand, two hundred".