11242996128 has 384 divisors, whose sum is σ = 40669655040. Its totient is φ = 2942438400.

The previous prime is 11242996081. The next prime is 11242996139. The reversal of 11242996128 is 82169924211.

It is a happy number.

11242996128 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 29 + 9 + 612 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11871751 + ... + 11872697.

It is an arithmetic number, because the mean of its divisors is an integer number (105910560).

Almost surely, 2^11242996128 is an apocalyptic number.

11242996128 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 11242996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334827520).

11242996128 is an abundant number, since it is smaller than the sum of its proper divisors (29426658912).

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

11242996128 is a wasteful number, since it uses less digits than its factorization.

11242996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 11242996128 in words is "eleven billion, two hundred forty-two million, nine hundred ninety-six thousand, one hundred twenty-eight".