11311216000 has 256 divisors, whose sum is σ = 33545041920. Its totient is φ = 3708672000.

The previous prime is 11311215967. The next prime is 11311216001. The reversal of 11311216000 is 61211311.

It is a super-3 number, since 3×11311216000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2573805 + ... + 2578195.

It is an arithmetic number, because the mean of its divisors is an integer number (131035320).

Almost surely, 2^11311216000 is an apocalyptic number.

11311216000 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 11311216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772520960).

11311216000 is an abundant number, since it is smaller than the sum of its proper divisors (22233825920).

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

11311216000 is an equidigital number, since it uses as much as digits as its factorization.

11311216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11311216000 its reverse (61211311), we get a palindrome (11372427311).

The spelling of 11311216000 in words is "eleven billion, three hundred eleven million, two hundred sixteen thousand".