12124410540 has 288 divisors, whose sum is σ = 39792876480. Its totient is φ = 2746613760.

The previous prime is 12124410533. The next prime is 12124410577. The reversal of 12124410540 is 4501442121.

It is a self number, because there is not a number n which added to its sum of digits gives 12124410540.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23819806 + ... + 23820314.

It is an arithmetic number, because the mean of its divisors is an integer number (138169710).

Almost surely, 2^12124410540 is an apocalyptic number.

12124410540 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 12124410540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896438240).

12124410540 is an abundant number, since it is smaller than the sum of its proper divisors (27668465940).

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

12124410540 is a wasteful number, since it uses less digits than its factorization.

12124410540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12124410540 its reverse (4501442121), we get a palindrome (16625852661).

The spelling of 12124410540 in words is "twelve billion, one hundred twenty-four million, four hundred ten thousand, five hundred forty".