12357205560480 has 192 divisors, whose sum is σ = 42498766171008. Its totient is φ = 2993223106560.

The previous prime is 12357205560449. The next prime is 12357205560521. The reversal of 12357205560480 is 8406550275321.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5464224 + ... + 7387296.

It is an arithmetic number, because the mean of its divisors is an integer number (221347740474).

Almost surely, 2^{12357205560480} is an apocalyptic number.

12357205560480 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 12357205560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249383085504).

12357205560480 is an abundant number, since it is smaller than the sum of its proper divisors (30141560610528).

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

12357205560480 is a wasteful number, since it uses less digits than its factorization.

12357205560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924319 (or 1924311 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 12357205560480 in words is "twelve trillion, three hundred fifty-seven billion, two hundred five million, five hundred sixty thousand, four hundred eighty".