11292912192 has 112 divisors (see below), whose sum is σ = 30204168192. Its totient is φ = 3723571200.

The previous prime is 11292912173. The next prime is 11292912289. The reversal of 11292912192 is 29121929211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11292912192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9810817 + ... + 9811967.

Almost surely, 2^11292912192 is an apocalyptic number.

11292912192 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 11292912192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102084096).

11292912192 is an abundant number, since it is smaller than the sum of its proper divisors (18911256000).

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

11292912192 is a wasteful number, since it uses less digits than its factorization.

11292912192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1666 counting only the distinct ones).

The product of its digits is 11664, while the sum is 39.

The spelling of 11292912192 in words is "eleven billion, two hundred ninety-two million, nine hundred twelve thousand, one hundred ninety-two".