12087303943680 has 2880 divisors, whose sum is σ = 54288735209280. Its totient is φ = 2540282314752.

The previous prime is 12087303943661. The next prime is 12087303943723. The reversal of 12087303943680 is 8634930378021.

12087303943680 is a `hidden beast` number, since 1 + 20 + 87 + 3 + 0 + 39 + 436 + 80 = 666.

12087303943680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×12087303943680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51876840844 + ... + 51876841076.

It is an arithmetic number, because the mean of its divisors is an integer number (18850255281).

Almost surely, 2^{12087303943680} is an apocalyptic number.

12087303943680 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 12087303943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144367604640).

12087303943680 is an abundant number, since it is smaller than the sum of its proper divisors (42201431265600).

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

12087303943680 is a wasteful number, since it uses less digits than its factorization.

12087303943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 12087303943680 in words is "twelve trillion, eighty-seven billion, three hundred three million, nine hundred forty-three thousand, six hundred eighty".