11012231120 has 80 divisors (see below), whose sum is σ = 27985798080. Its totient is φ = 3996595200.

The previous prime is 11012231107. The next prime is 11012231129. The reversal of 11012231120 is 2113221011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11012231095 and 11012231104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012231129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446471 + ... + 470489.

It is an arithmetic number, because the mean of its divisors is an integer number (349822476).

Almost surely, 2^11012231120 is an apocalyptic number.

11012231120 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 11012231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992899040).

11012231120 is an abundant number, since it is smaller than the sum of its proper divisors (16973566960).

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

11012231120 is a wasteful number, since it uses less digits than its factorization.

11012231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24564 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11012231120 its reverse (2113221011), we get a palindrome (13125452131).

The spelling of 11012231120 in words is "eleven billion, twelve million, two hundred thirty-one thousand, one hundred twenty".