12011101021122 has 128 divisors (see below), whose sum is σ = 29713001472000. Its totient is φ = 3160122854400.

The previous prime is 12011101021069. The next prime is 12011101021123. The reversal of 12011101021122 is 22112010111021.

It is a happy number.

12011101021122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12011101021123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8189254 + ... + 9543902.

It is an arithmetic number, because the mean of its divisors is an integer number (232132824000).

Almost surely, 2^{12011101021122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011101021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856500736000).

12011101021122 is an abundant number, since it is smaller than the sum of its proper divisors (17701900450878).

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

12011101021122 is a wasteful number, since it uses less digits than its factorization.

12011101021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354992.

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

Adding to 12011101021122 its reverse (22112010111021), we get a palindrome (34123111132143).

The spelling of 12011101021122 in words is "twelve trillion, eleven billion, one hundred one million, twenty-one thousand, one hundred twenty-two".