12533486011200 has 5040 divisors, whose sum is σ = 63343659139200. Its totient is φ = 2396285337600.

The previous prime is 12533486011133. The next prime is 12533486011259. The reversal of 12533486011200 is 211068433521.

12533486011200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 48 + 601 + 1 + 2 + 0 + 0 = 666.

12533486011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 46592884666 + ... + 46592884934.

Almost surely, 2^{12533486011200} is an apocalyptic number.

12533486011200 is a gapful number since it is divisible by the number (10) 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 12533486011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31671829569600).

12533486011200 is an abundant number, since it is smaller than the sum of its proper divisors (50810173128000).

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

12533486011200 is a wasteful number, since it uses less digits than its factorization.

12533486011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12533486011200 in words is "twelve trillion, five hundred thirty-three billion, four hundred eighty-six million, eleven thousand, two hundred".