Search a number
-
+
12222110022120 = 233351713917892677
BaseRepresentation
bin1011000111011010111010…
…0001101011100111101000
31121021102101212021021202000
42301312232201223213220
53100221340131201440
641554432042411000
72401006165031265
oct261665641534750
947242355237660
1012222110022120
113992405528959
121454887b00a60
136a87035a318b
143037a62c026c
15162dd24a7730
hexb1dae86b9e8

12222110022120 has 512 divisors, whose sum is σ = 43487720640000. Its totient is φ = 3042602237952.

The previous prime is 12222110022077. The next prime is 12222110022121. The reversal of 12222110022120 is 2122001122221.

It is a happy number.

12222110022120 is a `hidden beast` number, since 122 + 221 + 100 + 221 + 2 + 0 = 666.

It is a super-2 number, since 2×122221100221202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222110022093 and 12222110022102.

It is not an unprimeable number, because it can be changed into a prime (12222110022121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4565598222 + ... + 4565600898.

It is an arithmetic number, because the mean of its divisors is an integer number (84936954375).

Almost surely, 212222110022120 is an apocalyptic number.

12222110022120 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 12222110022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743860320000).

12222110022120 is an abundant number, since it is smaller than the sum of its proper divisors (31265610617880).

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

12222110022120 is a wasteful number, since it uses less digits than its factorization.

12222110022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12222110022120 its reverse (2122001122221), we get a palindrome (14344111144341).

The spelling of 12222110022120 in words is "twelve trillion, two hundred twenty-two billion, one hundred ten million, twenty-two thousand, one hundred twenty".