11229181992 has 192 divisors, whose sum is σ = 36447989760. Its totient is φ = 3053635200.

The previous prime is 11229181991. The next prime is 11229181993. The reversal of 11229181992 is 29918192211.

11229181992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11229181991) and next prime (11229181993).

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

It is not an unprimeable number, because it can be changed into a prime (11229181991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2443617 + ... + 2448207.

It is an arithmetic number, because the mean of its divisors is an integer number (189833280).

Almost surely, 2^11229181992 is an apocalyptic number.

11229181992 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 11229181992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223994880).

11229181992 is an abundant number, since it is smaller than the sum of its proper divisors (25218807768).

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

11229181992 is a wasteful number, since it uses less digits than its factorization.

11229181992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4837 counting only the distinct ones).

The product of its digits is 46656, while the sum is 45.

The spelling of 11229181992 in words is "eleven billion, two hundred twenty-nine million, one hundred eighty-one thousand, nine hundred ninety-two".