12489101081600 has 1584 divisors, whose sum is σ = 39731920208640. Its totient is φ = 3843057254400.

The previous prime is 12489101081593. The next prime is 12489101081603. The reversal of 12489101081600 is 618010198421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12489101081603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34788582221 + ... + 34788582579.

It is an arithmetic number, because the mean of its divisors is an integer number (25083282960).

Almost surely, 2^{12489101081600} is an apocalyptic number.

12489101081600 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 12489101081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865960104320).

12489101081600 is an abundant number, since it is smaller than the sum of its proper divisors (27242819127040).

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

12489101081600 is a wasteful number, since it uses less digits than its factorization.

12489101081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The spelling of 12489101081600 in words is "twelve trillion, four hundred eighty-nine billion, one hundred one million, eighty-one thousand, six hundred".