11117232000 has 768 divisors, whose sum is σ = 46914940800. Its totient is φ = 2469888000.

The previous prime is 11117231989. The next prime is 11117232013. The reversal of 11117232000 is 23271111.

It is a happy number.

11117232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41327866 + ... + 41328134.

Almost surely, 2^11117232000 is an apocalyptic number.

11117232000 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 11117232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457470400).

11117232000 is an abundant number, since it is smaller than the sum of its proper divisors (35797708800).

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

11117232000 is a wasteful number, since it uses less digits than its factorization.

11117232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 11117232000 in words is "eleven billion, one hundred seventeen million, two hundred thirty-two thousand".