11014120 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3986688.

The previous prime is 11014111. The next prime is 11014139. The reversal of 11014120 is 2141011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11014097 and 11014106.

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, 30501 + ... + 30859.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^11014120 is an apocalyptic number.

11014120 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 11014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

11014120 is an abundant number, since it is smaller than the sum of its proper divisors (16201880).

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

11014120 is a wasteful number, since it uses less digits than its factorization.

11014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11014120 is about 3318.7527777766. The cubic root of 11014120 is about 222.4931277598.

Adding to 11014120 its reverse (2141011), we get a palindrome (13155131).

The spelling of 11014120 in words is "eleven million, fourteen thousand, one hundred twenty".