12125237760 has 480 divisors, whose sum is σ = 45827781120. Its totient is φ = 3038183424.

The previous prime is 12125237741. The next prime is 12125237767. The reversal of 12125237760 is 6773252121.

12125237760 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 523 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (12125237767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19975377 + ... + 19975983.

It is an arithmetic number, because the mean of its divisors is an integer number (95474544).

Almost surely, 2^12125237760 is an apocalyptic number.

12125237760 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 12125237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913890560).

12125237760 is an abundant number, since it is smaller than the sum of its proper divisors (33702543360).

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

12125237760 is an equidigital number, since it uses as much as digits as its factorization.

12125237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 12125237760 its reverse (6773252121), we get a palindrome (18898489881).

The spelling of 12125237760 in words is "twelve billion, one hundred twenty-five million, two hundred thirty-seven thousand, seven hundred sixty".