11122308288 has 672 divisors, whose sum is σ = 42248693760. Its totient is φ = 2821754880.

The previous prime is 11122308287. The next prime is 11122308311. The reversal of 11122308288 is 88280322111.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122308287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41041593 + ... + 41041863.

It is an arithmetic number, because the mean of its divisors is an integer number (62870080).

Almost surely, 2^11122308288 is an apocalyptic number.

11122308288 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 11122308288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124346880).

11122308288 is an abundant number, since it is smaller than the sum of its proper divisors (31126385472).

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

11122308288 is a wasteful number, since it uses less digits than its factorization.

11122308288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11122308288 in words is "eleven billion, one hundred twenty-two million, three hundred eight thousand, two hundred eighty-eight".