12533501320000 has 560 divisors, whose sum is σ = 33068749012992. Its totient is φ = 4701945600000.

The previous prime is 12533501319953. The next prime is 12533501320019. The reversal of 12533501320000 is 2310533521.

12533501320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11530359457 + ... + 11530360543.

Almost surely, 2^{12533501320000} is an apocalyptic number.

12533501320000 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 12533501320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534374506496).

12533501320000 is an abundant number, since it is smaller than the sum of its proper divisors (20535247692992).

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

12533501320000 is a wasteful number, since it uses less digits than its factorization.

12533501320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 12533501320000 its reverse (2310533521), we get a palindrome (12535811853521).

It can be divided in two parts, 12533 and 501320000, that multiplied together give a square (6283043560000 = 2506600²).

The spelling of 12533501320000 in words is "twelve trillion, five hundred thirty-three billion, five hundred one million, three hundred twenty thousand".