11020112121120 has 48 divisors (see below), whose sum is σ = 34713353183040. Its totient is φ = 2938696565504.

The previous prime is 11020112121119. The next prime is 11020112121131. The reversal of 11020112121120 is 2112121102011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11020112121120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11479282980 + ... + 11479283939.

It is an arithmetic number, because the mean of its divisors is an integer number (723194857980).

Almost surely, 2^{11020112121120} is an apocalyptic number.

11020112121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020112121120 is an abundant number, since it is smaller than the sum of its proper divisors (23693241061920).

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

11020112121120 is a wasteful number, since it uses less digits than its factorization.

11020112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22958566937 (or 22958566929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11020112121120 its reverse (2112121102011), we get a palindrome (13132233223131).

The spelling of 11020112121120 in words is "eleven trillion, twenty billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".