12031416540 has 384 divisors, whose sum is σ = 45174205440. Its totient is φ = 2618956800.

The previous prime is 12031416539. The next prime is 12031416547. The reversal of 12031416540 is 4561413021.

It is a happy number.

12031416540 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 4 + 1 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031416547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2855035 + ... + 2859245.

It is an arithmetic number, because the mean of its divisors is an integer number (117641160).

Almost surely, 2^12031416540 is an apocalyptic number.

12031416540 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 12031416540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

12031416540 is an abundant number, since it is smaller than the sum of its proper divisors (33142788900).

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

12031416540 is a wasteful number, since it uses less digits than its factorization.

12031416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12031416540 its reverse (4561413021), we get a palindrome (16592829561).

The spelling of 12031416540 in words is "twelve billion, thirty-one million, four hundred sixteen thousand, five hundred forty".