11811345012 has 72 divisors (see below), whose sum is σ = 30309027840. Its totient is φ = 3877554240.

The previous prime is 11811344981. The next prime is 11811345019. The reversal of 11811345012 is 21054311811.

11811345012 is a `hidden beast` number, since 118 + 11 + 34 + 501 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811345019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3267318 + ... + 3270930.

It is an arithmetic number, because the mean of its divisors is an integer number (420958720).

Almost surely, 2^11811345012 is an apocalyptic number.

11811345012 is a gapful number since it is divisible by the number (12) 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 11811345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154513920).

11811345012 is an abundant number, since it is smaller than the sum of its proper divisors (18497682828).

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

11811345012 is a wasteful number, since it uses less digits than its factorization.

11811345012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 11811345012 its reverse (21054311811), we get a palindrome (32865656823).

The spelling of 11811345012 in words is "eleven billion, eight hundred eleven million, three hundred forty-five thousand, twelve".