12125005040 has 160 divisors (see below), whose sum is σ = 30758745600. Its totient is φ = 4429900800.

The previous prime is 12125005037. The next prime is 12125005127. The reversal of 12125005040 is 4050052121.

12125005040 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4751765 + ... + 4754315.

It is an arithmetic number, because the mean of its divisors is an integer number (192242160).

Almost surely, 2^12125005040 is an apocalyptic number.

12125005040 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 12125005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379372800).

12125005040 is an abundant number, since it is smaller than the sum of its proper divisors (18633740560).

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

12125005040 is a wasteful number, since it uses less digits than its factorization.

12125005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 12125005040 its reverse (4050052121), we get a palindrome (16175057161).

The spelling of 12125005040 in words is "twelve billion, one hundred twenty-five million, five thousand, forty".