11020032120 has 128 divisors (see below), whose sum is σ = 33614714880. Its totient is φ = 2889600000.

The previous prime is 11020032071. The next prime is 11020032137. The reversal of 11020032120 is 2123002011.

It is a super-2 number, since 2×11020032120² (a number of 21 digits) contains 22 as substring.

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 = 11020032096 and 11020032105.

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, 3670620 + ... + 3673620.

It is an arithmetic number, because the mean of its divisors is an integer number (262614960).

Almost surely, 2^11020032120 is an apocalyptic number.

11020032120 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 11020032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807357440).

11020032120 is an abundant number, since it is smaller than the sum of its proper divisors (22594682760).

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

11020032120 is a wasteful number, since it uses less digits than its factorization.

11020032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11020032120 its reverse (2123002011), we get a palindrome (13143034131).

The spelling of 11020032120 in words is "eleven billion, twenty million, thirty-two thousand, one hundred twenty".