11132212311000 has 768 divisors, whose sum is σ = 42206041612800. Its totient is φ = 2622720384000.

The previous prime is 11132212310951. The next prime is 11132212311013. The reversal of 11132212311000 is 11321223111.

11132212311000 is a `hidden beast` number, since 1 + 11 + 322 + 1 + 231 + 100 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5344315959 + ... + 5344318041.

It is an arithmetic number, because the mean of its divisors is an integer number (54955783350).

Almost surely, 2^{11132212311000} is an apocalyptic number.

11132212311000 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 11132212311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103020806400).

11132212311000 is an abundant number, since it is smaller than the sum of its proper divisors (31073829301800).

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

11132212311000 is a wasteful number, since it uses less digits than its factorization.

11132212311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11132212311000 its reverse (11321223111), we get a palindrome (11143533534111).

The spelling of 11132212311000 in words is "eleven trillion, one hundred thirty-two billion, two hundred twelve million, three hundred eleven thousand".