11113232000 has 384 divisors, whose sum is σ = 31413629520. Its totient is φ = 3886080000.

The previous prime is 11113231981. The next prime is 11113232003. The reversal of 11113232000 is 23231111.

It can be written as a sum of positive squares in 8 ways, for example, as 834516544 + 10278715456 = 28888^2 + 101384^2 .

It is a super-3 number, since 3×11113232000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11113232003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110031950 + ... + 110032050.

Almost surely, 2^11113232000 is an apocalyptic number.

11113232000 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 11113232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706814760).

11113232000 is an abundant number, since it is smaller than the sum of its proper divisors (20300397520).

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

11113232000 is a wasteful number, since it uses less digits than its factorization.

11113232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11113232000 its reverse (23231111), we get a palindrome (11136463111).

The spelling of 11113232000 in words is "eleven billion, one hundred thirteen million, two hundred thirty-two thousand".