12533204409312 has 192 divisors, whose sum is σ = 33998599514880. Its totient is φ = 4040310779904.

The previous prime is 12533204409301. The next prime is 12533204409337. The reversal of 12533204409312 is 21390440233521.

12533204409312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172130098 + ... + 172202894.

It is an arithmetic number, because the mean of its divisors is an integer number (177076039140).

Almost surely, 2^{12533204409312} is an apocalyptic number.

12533204409312 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 12533204409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999299757440).

12533204409312 is an abundant number, since it is smaller than the sum of its proper divisors (21465395105568).

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

12533204409312 is a wasteful number, since it uses less digits than its factorization.

12533204409312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73265 (or 73257 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 12533204409312 in words is "twelve trillion, five hundred thirty-three billion, two hundred four million, four hundred nine thousand, three hundred twelve".