Search a number
-
+
12222111200121 = 3229379713047649
BaseRepresentation
bin1011000111011010111010…
…0110001011001101111001
31121021102101221111010122200
42301312232212023031321
53100221340431400441
641554432123540413
72401006211035554
oct261665646131571
947242357433580
1012222111200121
113992406162a09
12145488838a709
136a87038c6414
143037a650969b
15162dd263b7b6
hexb1dae98b379

12222111200121 has 48 divisors (see below), whose sum is σ = 18949884954000. Its totient is φ = 7575568809984.

The previous prime is 12222111200113. The next prime is 12222111200129. The reversal of 12222111200121 is 12100211122221.

12222111200121 is a `hidden beast` number, since 12 + 222 + 111 + 200 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (12222111200113) and next prime (12222111200129).

It can be written as a sum of positive squares in 8 ways, for example, as 858706168896 + 11363405031225 = 926664^2 + 3370965^2 .

It is not a de Polignac number, because 12222111200121 - 23 = 12222111200113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222111200094 and 12222111200103.

It is not an unprimeable number, because it can be changed into a prime (12222111200129) 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, 5587096 + ... + 7460553.

It is an arithmetic number, because the mean of its divisors is an integer number (394789269875).

Almost surely, 212222111200121 is an apocalyptic number.

It is an amenable number.

12222111200121 is a deficient number, since it is larger than the sum of its proper divisors (6727773753879).

12222111200121 is a wasteful number, since it uses less digits than its factorization.

12222111200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047818 (or 13047815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12222111200121 its reverse (12100211122221), we get a palindrome (24322322322342).

The spelling of 12222111200121 in words is "twelve trillion, two hundred twenty-two billion, one hundred eleven million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 29 37 87 97 111 261 291 333 873 1073 2813 3219 3589 8439 9657 10767 25317 32301 104081 312243 936729 13047649 39142947 117428841 378381821 482763013 1135145463 1265621953 1448289039 3405436389 3796865859 4344867117 11390597577 14000127377 36703036637 42000382131 46828012261 110109109911 126001146393 140484036783 330327329733 421452110349 1358012355569 4074037066707 12222111200121