12005646565440 has 448 divisors, whose sum is σ = 43504788897792. Its totient is φ = 2776627814400.

The previous prime is 12005646565411. The next prime is 12005646565453. The reversal of 12005646565440 is 4456564650021.

It is a happy number.

It is a super-2 number, since 2×12005646565440² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12005646565440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92958510 + ... + 93087570.

Almost surely, 2^{12005646565440} is an apocalyptic number.

12005646565440 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 12005646565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752394448896).

12005646565440 is an abundant number, since it is smaller than the sum of its proper divisors (31499142332352).

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

12005646565440 is a wasteful number, since it uses less digits than its factorization.

12005646565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129498 (or 129488 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 12005646565440 in words is "twelve trillion, five billion, six hundred forty-six million, five hundred sixty-five thousand, four hundred forty".