11122012101120 has 320 divisors, whose sum is σ = 36173793300480. Its totient is φ = 2914353561600.

The previous prime is 11122012101049. The next prime is 11122012101127. The reversal of 11122012101120 is 2110121022111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 11122012101120.

It is not an unprimeable number, because it can be changed into a prime (11122012101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590900825 + ... + 1590907815.

It is an arithmetic number, because the mean of its divisors is an integer number (113043104064).

Almost surely, 2^{11122012101120} is an apocalyptic number.

11122012101120 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 11122012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086896650240).

11122012101120 is an abundant number, since it is smaller than the sum of its proper divisors (25051781199360).

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

11122012101120 is an equidigital number, since it uses as much as digits as its factorization.

11122012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10571 counting only the distinct ones).

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

Adding to 11122012101120 its reverse (2110121022111), we get a palindrome (13232133123231).

The spelling of 11122012101120 in words is "eleven trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred twenty".