11214212688 has 120 divisors (see below), whose sum is σ = 36018528000. Its totient is φ = 3190586112.

The previous prime is 11214212677. The next prime is 11214212693. The reversal of 11214212688 is 88621241211.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217638 + ... + 264186.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 2^11214212688 is an apocalyptic number.

11214212688 is a gapful number since it is divisible by the number (18) 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 11214212688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264000).

11214212688 is an abundant number, since it is smaller than the sum of its proper divisors (24804315312).

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

11214212688 is a wasteful number, since it uses less digits than its factorization.

11214212688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46809 (or 46800 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

Adding to 11214212688 its reverse (88621241211), we get a palindrome (99835453899).

The spelling of 11214212688 in words is "eleven billion, two hundred fourteen million, two hundred twelve thousand, six hundred eighty-eight".