11113229677200 has 480 divisors, whose sum is σ = 41092395918336. Its totient is φ = 2514763130880.

The previous prime is 11113229677157. The next prime is 11113229677259. The reversal of 11113229677200 is 277692231111.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1800293314 + ... + 1800299486.

Almost surely, 2^{11113229677200} is an apocalyptic number.

11113229677200 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 11113229677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546197959168).

11113229677200 is an abundant number, since it is smaller than the sum of its proper divisors (29979166241136).

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

11113229677200 is a wasteful number, since it uses less digits than its factorization.

11113229677200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 11113229677200 in words is "eleven trillion, one hundred thirteen billion, two hundred twenty-nine million, six hundred seventy-seven thousand, two hundred".