11122080 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 2637824.

The previous prime is 11122073. The next prime is 11122099. The reversal of 11122080 is 8022111.

11122080 = T₁₁₉ + T₁₂₀ + ... + T₄₀₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 236617 + ... + 236663.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^11122080 is an apocalyptic number.

11122080 is a gapful number since it is divisible by the number (10) 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 11122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

11122080 is an abundant number, since it is smaller than the sum of its proper divisors (28068960).

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

11122080 is a wasteful number, since it uses less digits than its factorization.

11122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11122080 is about 3334.9782607987. The cubic root of 11122080 is about 223.2177219006.

Adding to 11122080 its reverse (8022111), we get a palindrome (19144191).

The spelling of 11122080 in words is "eleven million, one hundred twenty-two thousand, eighty".