Search a number
-
+
12221111112221 = 11101107102804673
BaseRepresentation
bin1011000111010111001011…
…1111001001001000011101
31121021022211020122101222002
42301311302333021020131
53100212313421042341
641554145000332045
72400642345320444
oct261656277111035
947238736571862
1012221111112221
113991a4268a090
121454649474025
136a85a465822b
1430370d777d5b
15162d7493e29b
hexb1d72fc921d

12221111112221 has 16 divisors (see below), whose sum is σ = 13589955465408. Its totient is φ = 10897295232000.

The previous prime is 12221111112209. The next prime is 12221111112229.

It is a happy number.

12221111112221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221111112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221111112193 and 12221111112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221111112229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51283460 + ... + 51521213.

It is an arithmetic number, because the mean of its divisors is an integer number (849372216588).

Almost surely, 212221111112221 is an apocalyptic number.

12221111112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221111112221 is a deficient number, since it is larger than the sum of its proper divisors (1368844353187).

12221111112221 is a wasteful number, since it uses less digits than its factorization.

12221111112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102804892.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1222111 and 1112221, that added together give a palindrome (2334332).

The spelling of 12221111112221 in words is "twelve trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 101 107 1111 1177 10807 118877 102804673 1130851403 10383271973 11000100011 114215991703 121001100121 1111010101111 12221111112221