12010504245760 has 160 divisors (see below), whose sum is σ = 28936873278720. Its totient is φ = 4780904153088.

The previous prime is 12010504245739. The next prime is 12010504245763. The reversal of 12010504245760 is 6754240501021.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (12010504245763) 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, 1054194624 + ... + 1054206016.

It is an arithmetic number, because the mean of its divisors is an integer number (180855457992).

Almost surely, 2^{12010504245760} is an apocalyptic number.

12010504245760 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 12010504245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468436639360).

12010504245760 is an abundant number, since it is smaller than the sum of its proper divisors (16926369032960).

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

12010504245760 is a wasteful number, since it uses less digits than its factorization.

12010504245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 12010504245760 its reverse (6754240501021), we get a palindrome (18764744746781).

The spelling of 12010504245760 in words is "twelve trillion, ten billion, five hundred four million, two hundred forty-five thousand, seven hundred sixty".