12482201088000 has 4160 divisors, whose sum is σ = 58579893166080. Its totient is φ = 2579890176000.

The previous prime is 12482201087891. The next prime is 12482201088041. The reversal of 12482201088000 is 88010228421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 170989055964 + ... + 170989056036.

It is an arithmetic number, because the mean of its divisors is an integer number (14081705088).

Almost surely, 2^{12482201088000} is an apocalyptic number.

12482201088000 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 12482201088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289946583040).

12482201088000 is an abundant number, since it is smaller than the sum of its proper divisors (46097692078080).

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

12482201088000 is an equidigital number, since it uses as much as digits as its factorization.

12482201088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12482201088000 in words is "twelve trillion, four hundred eighty-two billion, two hundred one million, eighty-eight thousand".