11101192128 has 224 divisors, whose sum is σ = 35298278400. Its totient is φ = 3400952832.

The previous prime is 11101192079. The next prime is 11101192133. The reversal of 11101192128 is 82129110111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5907093 + ... + 5908971.

It is an arithmetic number, because the mean of its divisors is an integer number (157581600).

Almost surely, 2^11101192128 is an apocalyptic number.

11101192128 is a gapful number since it is divisible by the number (18) 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 11101192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649139200).

11101192128 is an abundant number, since it is smaller than the sum of its proper divisors (24197086272).

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

11101192128 is a wasteful number, since it uses less digits than its factorization.

11101192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 11101192128 in words is "eleven billion, one hundred one million, one hundred ninety-two thousand, one hundred twenty-eight".