11411712312 has 576 divisors, whose sum is σ = 40755456000. Its totient is φ = 2634508800.

The previous prime is 11411712293. The next prime is 11411712317. The reversal of 11411712312 is 21321711411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411712317) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57345189 + ... + 57345387.

It is an arithmetic number, because the mean of its divisors is an integer number (70756000).

Almost surely, 2^11411712312 is an apocalyptic number.

11411712312 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 11411712312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377728000).

11411712312 is an abundant number, since it is smaller than the sum of its proper divisors (29343743688).

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

11411712312 is a wasteful number, since it uses less digits than its factorization.

11411712312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

Subtracting 11411712312 from its reverse (21321711411), we obtain a palindrome (9909999099).

The spelling of 11411712312 in words is "eleven billion, four hundred eleven million, seven hundred twelve thousand, three hundred twelve".