12332742072 has 384 divisors, whose sum is σ = 40848192000. Its totient is φ = 3026903040.

The previous prime is 12332742047. The next prime is 12332742077. The reversal of 12332742072 is 27024723321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332742077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26751922 + ... + 26752382.

It is an arithmetic number, because the mean of its divisors is an integer number (106375500).

Almost surely, 2^12332742072 is an apocalyptic number.

12332742072 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 12332742072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424096000).

12332742072 is an abundant number, since it is smaller than the sum of its proper divisors (28515449928).

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

12332742072 is a wasteful number, since it uses less digits than its factorization.

12332742072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 12332742072 in words is "twelve billion, three hundred thirty-two million, seven hundred forty-two thousand, seventy-two".