11722120 has 32 divisors (see below), whose sum is σ = 26827200. Its totient is φ = 4608448.

The previous prime is 11722097. The next prime is 11722127. The reversal of 11722120 is 2122711.

11722120 = 877² + 878² + ... + 891².

11722120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11722094 and 11722103.

It is not an unprimeable number, because it can be changed into a prime (11722127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 4843.

It is an arithmetic number, because the mean of its divisors is an integer number (838350).

Almost surely, 2^11722120 is an apocalyptic number.

11722120 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 11722120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413600).

11722120 is an abundant number, since it is smaller than the sum of its proper divisors (15105080).

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

11722120 is a wasteful number, since it uses less digits than its factorization.

11722120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11722120 is about 3423.7581690300. The cubic root of 11722120 is about 227.1618451600.

Adding to 11722120 its reverse (2122711), we get a palindrome (13844831).

The spelling of 11722120 in words is "eleven million, seven hundred twenty-two thousand, one hundred twenty".