Search a number
-
+
12222110020120 = 23571121350395507
BaseRepresentation
bin1011000111011010111010…
…0001101011001000011000
31121021102101212021011222221
42301312232201223020120
53100221340131120440
641554432042353424
72401006165022410
oct261665641531030
947242355234887
1012222110020120
113992405527400
121454887abb874
136a87035a22b0
143037a62bd640
15162dd24a6d4a
hexb1dae86b218

12222110020120 has 384 divisors, whose sum is σ = 37216595404800. Its totient is φ = 3515114972160.

The previous prime is 12222110020103. The next prime is 12222110020129. The reversal of 12222110020120 is 2102001122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12222110020094 and 12222110020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222110020129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2219374407 + ... + 2219379913.

It is an arithmetic number, because the mean of its divisors is an integer number (96918217200).

Almost surely, 212222110020120 is an apocalyptic number.

12222110020120 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 12222110020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608297702400).

12222110020120 is an abundant number, since it is smaller than the sum of its proper divisors (24994485384680).

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

12222110020120 is a wasteful number, since it uses less digits than its factorization.

12222110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10599 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222110020120 its reverse (2102001122221), we get a palindrome (14324111142341).

The spelling of 12222110020120 in words is "twelve trillion, two hundred twenty-two billion, one hundred ten million, twenty thousand, one hundred twenty".