11228191920 has 480 divisors, whose sum is σ = 43231518720. Its totient is φ = 2656281600.

The previous prime is 11228191913. The next prime is 11228191967. The reversal of 11228191920 is 2919182211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88410897 + ... + 88411023.

It is an arithmetic number, because the mean of its divisors is an integer number (90065664).

Almost surely, 2^11228191920 is an apocalyptic number.

11228191920 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 11228191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615759360).

11228191920 is an abundant number, since it is smaller than the sum of its proper divisors (32003326800).

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

11228191920 is a wasteful number, since it uses less digits than its factorization.

11228191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11228191920 in words is "eleven billion, two hundred twenty-eight million, one hundred ninety-one thousand, nine hundred twenty".