11022142120 has 128 divisors (see below), whose sum is σ = 27482716800. Its totient is φ = 3945088000.

The previous prime is 11022142099. The next prime is 11022142129. The reversal of 11022142120 is 2124122011.

It is a junction number, because it is equal to n+sod(n) for n = 11022142094 and 11022142103.

It is not an unprimeable number, because it can be changed into a prime (11022142129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8754051 + ... + 8755309.

It is an arithmetic number, because the mean of its divisors is an integer number (214708725).

Almost surely, 2^11022142120 is an apocalyptic number.

11022142120 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 11022142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741358400).

11022142120 is an abundant number, since it is smaller than the sum of its proper divisors (16460574680).

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

11022142120 is a wasteful number, since it uses less digits than its factorization.

11022142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11022142120 its reverse (2124122011), we get a palindrome (13146264131).

The spelling of 11022142120 in words is "eleven billion, twenty-two million, one hundred forty-two thousand, one hundred twenty".