11292120 has 96 divisors (see below), whose sum is σ = 41951520. Its totient is φ = 2580480.

The previous prime is 11292109. The next prime is 11292133. The reversal of 11292120 is 2129211.

11292120 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11292093 and 11292102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (436995).

Almost surely, 2^11292120 is an apocalyptic number.

11292120 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 11292120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975760).

11292120 is an abundant number, since it is smaller than the sum of its proper divisors (30659400).

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

11292120 is a wasteful number, since it uses less digits than its factorization.

11292120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11292120 is about 3360.3749790760. The cubic root of 11292120 is about 224.3495287178.

It can be divided in two parts, 1129 and 2120, that added together give a square (3249 = 57²).

The spelling of 11292120 in words is "eleven million, two hundred ninety-two thousand, one hundred twenty".