Search a number
-
+
12220012012221 = 32131721919021043
BaseRepresentation
bin1011000111010011000101…
…1110011010001010111101
31121021012222122111100012200
42301310301132122022331
53100203041033342341
641553443535022113
72400603201163326
oct261646136321275
947235878440180
1012220012012221
113991529229a82
1214543a136a939
136a845aa310c0
143036477d144d
15162d0d1d4db6
hexb1d3179a2bd

12220012012221 has 72 divisors (see below), whose sum is σ = 21255636249120. Its totient is φ = 6705145557504.

The previous prime is 12220012012207. The next prime is 12220012012237. The reversal of 12220012012221 is 12221021002221.

It is a happy number.

12220012012221 is a `hidden beast` number, since 122 + 200 + 120 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 12220012012221 - 26 = 12220012012157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220012012194 and 12220012012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220012012291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8868075 + ... + 10152968.

Almost surely, 212220012012221 is an apocalyptic number.

It is an amenable number.

12220012012221 is a deficient number, since it is larger than the sum of its proper divisors (9035624236899).

12220012012221 is a wasteful number, since it uses less digits than its factorization.

12220012012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19021115 (or 19021095 counting only the distinct ones).

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

Adding to 12220012012221 its reverse (12221021002221), we get a palindrome (24441033014442).

The spelling of 12220012012221 in words is "twelve trillion, two hundred twenty billion, twelve million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 13 17 19 39 51 57 117 153 171 221 247 289 323 663 741 867 969 1989 2223 2601 2907 3757 4199 5491 11271 12597 16473 33813 37791 49419 71383 214149 642447 19021043 57063129 171189387 247273559 323357731 361399817 741820677 970073193 1084199451 2225462031 2910219579 3252598353 4203650503 4698197621 5497081427 6143796889 12610951509 14094592863 16491244281 18431390667 37832854527 42283778589 49473732843 55294172001 71462058551 79869359557 104444547113 214386175653 239608078671 313333641339 643158526959 718824236013 940000924017 1357779112469 4073337337407 12220012012221