11201928192 has 792 divisors, whose sum is σ = 43150694496. Its totient is φ = 2723217408.

The previous prime is 11201928181. The next prime is 11201928209. The reversal of 11201928192 is 29182910211.

11201928192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 302754798 + ... + 302754834.

Almost surely, 2^11201928192 is an apocalyptic number.

11201928192 is a gapful number since it is divisible by the number (12) 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 11201928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575347248).

11201928192 is an abundant number, since it is smaller than the sum of its proper divisors (31948766304).

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

11201928192 is a wasteful number, since it uses less digits than its factorization.

11201928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

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

The spelling of 11201928192 in words is "eleven billion, two hundred one million, nine hundred twenty-eight thousand, one hundred ninety-two".