12540333005352 has 128 divisors (see below), whose sum is σ = 35389820563200. Its totient is φ = 4165233528960.

The previous prime is 12540333005339. The next prime is 12540333005383. The reversal of 12540333005352 is 25350033304521.

12540333005352 is a `hidden beast` number, since 1 + 2 + 540 + 33 + 30 + 0 + 5 + 3 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641013 + ... + 6191739.

It is an arithmetic number, because the mean of its divisors is an integer number (276482973150).

Almost surely, 2^{12540333005352} is an apocalyptic number.

12540333005352 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 12540333005352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694910281600).

12540333005352 is an abundant number, since it is smaller than the sum of its proper divisors (22849487557848).

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

12540333005352 is an equidigital number, since it uses as much as digits as its factorization.

12540333005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551035 (or 2551013 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 12540333005352 its reverse (25350033304521), we get a palindrome (37890366309873).

The spelling of 12540333005352 in words is "twelve trillion, five hundred forty billion, three hundred thirty-three million, five thousand, three hundred fifty-two".