12120113221092 has 144 divisors (see below), whose sum is σ = 31529164146480. Its totient is φ = 3924590985216.

The previous prime is 12120113221091. The next prime is 12120113221147. The reversal of 12120113221092 is 29012231102121.

12120113221092 is a `hidden beast` number, since 121 + 201 + 1 + 322 + 10 + 9 + 2 = 666.

12120113221092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 595283230116 + 11524829990976 = 771546^2 + 3394824^2 .

It is not an unprimeable number, because it can be changed into a prime (12120113221091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42435628 + ... + 42720284.

It is an arithmetic number, because the mean of its divisors is an integer number (218952528795).

Almost surely, 2^{12120113221092} is an apocalyptic number.

12120113221092 is a gapful number since it is divisible by the number (12) 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 12120113221092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764582073240).

12120113221092 is an abundant number, since it is smaller than the sum of its proper divisors (19409050925388).

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

12120113221092 is a wasteful number, since it uses less digits than its factorization.

12120113221092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284990 (or 284985 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12120113221092 in words is "twelve trillion, one hundred twenty billion, one hundred thirteen million, two hundred twenty-one thousand, ninety-two".