11022120 has 96 divisors (see below), whose sum is σ = 37950120. Its totient is φ = 2764800.

The previous prime is 11022119. The next prime is 11022131. The reversal of 11022120 is 2122011.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 2762244 = 2874^2 + 1662^2 .

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 23 ways as a sum of consecutive naturals, for example, 5220 + ... + 7020.

Almost surely, 2^11022120 is an apocalyptic number.

11022120 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 11022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975060).

11022120 is an abundant number, since it is smaller than the sum of its proper divisors (26928000).

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

11022120 is a wasteful number, since it uses less digits than its factorization.

11022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

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

The square root of 11022120 is about 3319.9578310575. The cubic root of 11022120 is about 222.5469833030.

Adding to 11022120 its reverse (2122011), we get a palindrome (13144131).

It can be divided in two parts, 1 and 1022120, that added together give a square (1022121 = 1011²).

The spelling of 11022120 in words is "eleven million, twenty-two thousand, one hundred twenty".