11012120 has 64 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3712896.

The previous prime is 11012093. The next prime is 11012129. The reversal of 11012120 is 2121011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11012098 and 11012107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18467 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^11012120 is an apocalyptic number.

11012120 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 11012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11012120 is an abundant number, since it is smaller than the sum of its proper divisors (17776360).

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

11012120 is a wasteful number, since it uses less digits than its factorization.

11012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 11012120 is about 3318.4514460814. The cubic root of 11012120 is about 222.4796597995.

Adding to 11012120 its reverse (2121011), we get a palindrome (13133131).

The spelling of 11012120 in words is "eleven million, twelve thousand, one hundred twenty".