11042120 has 32 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 4308480.

The previous prime is 11042117. The next prime is 11042123. The reversal of 11042120 is 2124011.

It is an interprime number because it is at equal distance from previous prime (11042117) and next prime (11042123).

It can be written as a sum of positive squares in 4 ways, for example, as 9449476 + 1592644 = 3074^2 + 1262^2 .

It is not an unprimeable number, because it can be changed into a prime (11042123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 5006.

Almost surely, 2^11042120 is an apocalyptic number.

11042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042120 is an abundant number, since it is smaller than the sum of its proper divisors (14412400).

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

11042120 is a wasteful number, since it uses less digits than its factorization.

11042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11042120 is about 3322.9685523640. The cubic root of 11042120 is about 222.6815082477.

Adding to 11042120 its reverse (2124011), we get a palindrome (13166131).

The spelling of 11042120 in words is "eleven million, forty-two thousand, one hundred twenty".