11202120 has 144 divisors (see below), whose sum is σ = 38724660. Its totient is φ = 2806272.

The previous prime is 11202119. The next prime is 11202131. The reversal of 11202120 is 2120211.

11202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7584516 + 3617604 = 2754^2 + 1902^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302742 + ... + 302778.

Almost surely, 2^11202120 is an apocalyptic number.

11202120 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 11202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362330).

11202120 is an abundant number, since it is smaller than the sum of its proper divisors (27522540).

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

11202120 is a wasteful number, since it uses less digits than its factorization.

11202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11202120 is about 3346.9568267308. The cubic root of 11202120 is about 223.7519043147.

Adding to 11202120 its reverse (2120211), we get a palindrome (13322331).

It can be divided in two parts, 1120 and 2120, that added together give a triangular number (3240 = T₈₀).

The spelling of 11202120 in words is "eleven million, two hundred two thousand, one hundred twenty".