12187422656640 has 2048 divisors, whose sum is σ = 55964805120000. Its totient is φ = 2483964887040.

The previous prime is 12187422656603. The next prime is 12187422656653. The reversal of 12187422656640 is 4665622478121.

12187422656640 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 74 + 2 + 2 + 6 + 566 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3455462557 + ... + 3455466083.

It is an arithmetic number, because the mean of its divisors is an integer number (27326565000).

Almost surely, 2^{12187422656640} is an apocalyptic number.

12187422656640 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 12187422656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982402560000).

12187422656640 is an abundant number, since it is smaller than the sum of its proper divisors (43777382463360).

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

12187422656640 is a wasteful number, since it uses less digits than its factorization.

12187422656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12187422656640 in words is "twelve trillion, one hundred eighty-seven billion, four hundred twenty-two million, six hundred fifty-six thousand, six hundred forty".