12023416868736 has 1536 divisors, whose sum is σ = 46040182272000. Its totient is φ = 2735639101440.

The previous prime is 12023416868731. The next prime is 12023416868741. The reversal of 12023416868736 is 63786861432021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12023416868731) and next prime (12023416868741).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023416868731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2449257450 + ... + 2449262358.

It is an arithmetic number, because the mean of its divisors is an integer number (29974077000).

Almost surely, 2^{12023416868736} is an apocalyptic number.

12023416868736 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 12023416868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23020091136000).

12023416868736 is an abundant number, since it is smaller than the sum of its proper divisors (34016765403264).

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

12023416868736 is a wasteful number, since it uses less digits than its factorization.

12023416868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 12023416868736 in words is "twelve trillion, twenty-three billion, four hundred sixteen million, eight hundred sixty-eight thousand, seven hundred thirty-six".