12285513048900 has 1152 divisors, whose sum is σ = 45755177036800. Its totient is φ = 2528292372480.

The previous prime is 12285513048817. The next prime is 12285513048943. The reversal of 12285513048900 is 984031558221.

It is a self number, because there is not a number n which added to its sum of digits gives 12285513048900.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9472253052 + ... + 9472254348.

Almost surely, 2^{12285513048900} is an apocalyptic number.

12285513048900 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 12285513048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877588518400).

12285513048900 is an abundant number, since it is smaller than the sum of its proper divisors (33469663987900).

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

12285513048900 is a wasteful number, since it uses less digits than its factorization.

12285513048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 12285513048900 in words is "twelve trillion, two hundred eighty-five billion, five hundred thirteen million, forty-eight thousand, nine hundred".