12923227503312 has 640 divisors, whose sum is σ = 41555740262400. Its totient is φ = 3377309810688.

The previous prime is 12923227503311. The next prime is 12923227503349. The reversal of 12923227503312 is 21330572232921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923227503311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17776103493 + ... + 17776104219.

It is an arithmetic number, because the mean of its divisors is an integer number (64930844160).

Almost surely, 2^{12923227503312} is an apocalyptic number.

12923227503312 is a gapful number since it is divisible by the number (12) 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 12923227503312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777870131200).

12923227503312 is an abundant number, since it is smaller than the sum of its proper divisors (28632512759088).

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

12923227503312 is a wasteful number, since it uses less digits than its factorization.

12923227503312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 12923227503312 in words is "twelve trillion, nine hundred twenty-three billion, two hundred twenty-seven million, five hundred three thousand, three hundred twelve".