11250120 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2516736.

The previous prime is 11250101. The next prime is 11250131. The reversal of 11250120 is 2105211.

11250120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11250096 and 11250105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49447 + ... + 49673.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^11250120 is an apocalyptic number.

11250120 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 11250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

11250120 is an abundant number, since it is smaller than the sum of its proper divisors (28148280).

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

11250120 is a wasteful number, since it uses less digits than its factorization.

11250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11250120 is about 3354.1198547458. The cubic root of 11250120 is about 224.0710340192.

Adding to 11250120 its reverse (2105211), we get a palindrome (13355331).

The spelling of 11250120 in words is "eleven million, two hundred fifty thousand, one hundred twenty".