12113418240 has 768 divisors, whose sum is σ = 53778816000. Its totient is φ = 2512650240.

The previous prime is 12113418227. The next prime is 12113418253. The reversal of 12113418240 is 4281431121.

12113418240 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 418 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (12113418227) and next prime (12113418253).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288676 + ... + 21289244.

It is an arithmetic number, because the mean of its divisors is an integer number (70024500).

Almost surely, 2^12113418240 is an apocalyptic number.

12113418240 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 12113418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408000).

12113418240 is an abundant number, since it is smaller than the sum of its proper divisors (41665397760).

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

12113418240 is a wasteful number, since it uses less digits than its factorization.

12113418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12113418240 its reverse (4281431121), we get a palindrome (16394849361).

The spelling of 12113418240 in words is "twelve billion, one hundred thirteen million, four hundred eighteen thousand, two hundred forty".