12311879489280 has 864 divisors, whose sum is σ = 52462825390080. Its totient is φ = 2723353436160.

The previous prime is 12311879489269. The next prime is 12311879489339. The reversal of 12311879489280 is 8298497811321.

12311879489280 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 8 + 79 + 489 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52379377 + ... + 52613903.

It is an arithmetic number, because the mean of its divisors is an integer number (60720862720).

Almost surely, 2^{12311879489280} is an apocalyptic number.

12311879489280 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 12311879489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26231412695040).

12311879489280 is an abundant number, since it is smaller than the sum of its proper divisors (40150945900800).

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

12311879489280 is a wasteful number, since it uses less digits than its factorization.

12311879489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234602 (or 234575 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 12311879489280 in words is "twelve trillion, three hundred eleven billion, eight hundred seventy-nine million, four hundred eighty-nine thousand, two hundred eighty".