12477208800 has 288 divisors, whose sum is σ = 48859372800. Its totient is φ = 2701762560.

The previous prime is 12477208789. The next prime is 12477208823. The reversal of 12477208800 is 880277421.

12477208800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 299656 + ... + 338744.

It is an arithmetic number, because the mean of its divisors is an integer number (169650600).

Almost surely, 2^12477208800 is an apocalyptic number.

12477208800 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 12477208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429686400).

12477208800 is an abundant number, since it is smaller than the sum of its proper divisors (36382164000).

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

12477208800 is a wasteful number, since it uses less digits than its factorization.

12477208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39138 (or 39125 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 12477208800 in words is "twelve billion, four hundred seventy-seven million, two hundred eight thousand, eight hundred".