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12102210222201 = 32111729247960543
BaseRepresentation
bin1011000000011100001111…
…1100001111100001111001
31120211221220211122100220200
42300013003330033201321
53041240311304102301
641423402325512413
72356233023403351
oct260070374174171
946757824570820
1012102210222201
113946578191620
1214355a5872709
1369a30609c6c8
142dba703bbb61
1515ec161e5c86
hexb01c3f0f879

12102210222201 has 48 divisors (see below), whose sum is σ = 20888196226560. Its totient is φ = 6665179368960.

The previous prime is 12102210222199. The next prime is 12102210222227. The reversal of 12102210222201 is 10222201220121.

It is a happy number.

12102210222201 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 0 + 222 + 201 = 666.

12102210222201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12102210222201 - 21 = 12102210222199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102210222241) 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, 123931465 + ... + 124029078.

It is an arithmetic number, because the mean of its divisors is an integer number (435170754720).

Almost surely, 212102210222201 is an apocalyptic number.

12102210222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102210222201 is a deficient number, since it is larger than the sum of its proper divisors (8785986004359).

12102210222201 is a wasteful number, since it uses less digits than its factorization.

12102210222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247960606 (or 247960603 counting only the distinct ones).

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

Adding to 12102210222201 its reverse (10222201220121), we get a palindrome (22324411442322).

The spelling of 12102210222201 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 493 561 957 1479 1683 2871 4437 5423 16269 48807 247960543 743881629 2231644887 2727565973 4215329231 7190855747 8182697919 12645987693 21572567241 24548093757 37937963079 46368621541 64717701723 79099413217 122244547699 139105864623 237298239651 366733643097 417317593869 711894718953 1100200929291 1344690024689 4034070074067 12102210222201