12533120544 has 96 divisors (see below), whose sum is σ = 37624680576. Its totient is φ = 3578480640.

The previous prime is 12533120527. The next prime is 12533120549. The reversal of 12533120544 is 44502133521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12533120544² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12533120549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151094 + ... + 1161930.

It is an arithmetic number, because the mean of its divisors is an integer number (391923756).

Almost surely, 2^12533120544 is an apocalyptic number.

12533120544 is a gapful number since it is divisible by the number (14) 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 12533120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812340288).

12533120544 is an abundant number, since it is smaller than the sum of its proper divisors (25091560032).

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

12533120544 is a wasteful number, since it uses less digits than its factorization.

12533120544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12533120544 in words is "twelve billion, five hundred thirty-three million, one hundred twenty thousand, five hundred forty-four".