12273589028736 has 192 divisors, whose sum is σ = 40512987340800. Its totient is φ = 3493799101440.

The previous prime is 12273589028711. The next prime is 12273589028761. The reversal of 12273589028736 is 63782098537221.

12273589028736 is a `hidden beast` number, since 1 + 2 + 27 + 3 + 589 + 0 + 28 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12273589028711) and next prime (12273589028761).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 622816 + ... + 4993503.

It is an arithmetic number, because the mean of its divisors is an integer number (211005142400).

Almost surely, 2^{12273589028736} is an apocalyptic number.

12273589028736 is a gapful number since it is divisible by the number (16) 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 12273589028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256493670400).

12273589028736 is an abundant number, since it is smaller than the sum of its proper divisors (28239398312064).

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

12273589028736 is a wasteful number, since it uses less digits than its factorization.

12273589028736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616617 (or 5616602 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12273589028736 in words is "twelve trillion, two hundred seventy-three billion, five hundred eighty-nine million, twenty-eight thousand, seven hundred thirty-six".