Search a number
-
+
12102222120321 = 329375963722401
BaseRepresentation
bin1011000000011100010010…
…1001101000010110000001
31120211221221200000212001210
42300013010221220112001
53041240322330322241
641423403432520333
72356233226466634
oct260070451502601
946757850025053
1012102222120321
113946583978883
1214355a98500a9
1369a3086a7208
142dba71bd7c1b
1515ec17296316
hexb01c4a68581

12102222120321 has 32 divisors (see below), whose sum is σ = 17434449187200. Its totient is φ = 7450932787200.

The previous prime is 12102222120319. The next prime is 12102222120341. The reversal of 12102222120321 is 12302122220121.

It is not a de Polignac number, because 12102222120321 - 21 = 12102222120319 is a prime.

It is a super-2 number, since 2×121022221203212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102222120301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31671280 + ... + 32051121.

It is an arithmetic number, because the mean of its divisors is an integer number (544826537100).

Almost surely, 212102222120321 is an apocalyptic number.

It is an amenable number.

12102222120321 is a deficient number, since it is larger than the sum of its proper divisors (5332227066879).

12102222120321 is a wasteful number, since it uses less digits than its factorization.

12102222120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63722529.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12102222120321 its reverse (12302122220121), we get a palindrome (24404344340442).

The spelling of 12102222120321 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 29 37 59 87 111 177 1073 1711 2183 3219 5133 6549 63307 189921 63722401 191167203 1847949629 2357728837 3759621659 5543848887 7073186511 11278864977 68374136273 109029028111 139106001383 205122408819 327087084333 417318004149 4034074040107 12102222120321