12348429004800 has 2340 divisors, whose sum is σ = 55565028650736. Its totient is φ = 2697737011200.

The previous prime is 12348429004759. The next prime is 12348429004889. The reversal of 12348429004800 is 840092484321.

12348429004800 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 84 + 2 + 90 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9347788140 + ... + 9347789460.

Almost surely, 2^{12348429004800} is an apocalyptic number.

12348429004800 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 12348429004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782514325368).

12348429004800 is an abundant number, since it is smaller than the sum of its proper divisors (43216599645936).

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

12348429004800 is a wasteful number, since it uses less digits than its factorization.

12348429004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12348429004800 in words is "twelve trillion, three hundred forty-eight billion, four hundred twenty-nine million, four thousand, eight hundred".