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12211220112201 = 3311219196723537
BaseRepresentation
bin1011000110110010010101…
…1011111110001101001001
31121020101021220222112201000
42301230211123332031021
53100032034322042301
641545431310045213
72400142263233625
oct261544533761511
947211256875630
1012211220112201
113988827453400
121452748aa9809
136a7689412bb6
14303051caa185
15162996412786
hexb1b256fe349

12211220112201 has 48 divisors (see below), whose sum is σ = 20931384443200. Its totient is φ = 7011226823040.

The previous prime is 12211220112151. The next prime is 12211220112227. The reversal of 12211220112201 is 10221102211221.

12211220112201 is a `hidden beast` number, since 1 + 2 + 211 + 220 + 11 + 220 + 1 = 666.

It is not a de Polignac number, because 12211220112201 - 29 = 12211220111689 is a prime.

It is a super-2 number, since 2×122112201122012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211220112601) 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, 98299696 + ... + 98423841.

Almost surely, 212211220112201 is an apocalyptic number.

12211220112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211220112201 is a deficient number, since it is larger than the sum of its proper divisors (8720164330999).

12211220112201 is a wasteful number, since it uses less digits than its factorization.

12211220112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196723587 (or 196723570 counting only the distinct ones).

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

Adding to 12211220112201 its reverse (10221102211221), we get a palindrome (22432322323422).

The spelling of 12211220112201 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 19 27 33 57 99 121 171 209 297 363 513 627 1089 1881 2299 3267 5643 6897 20691 62073 196723537 590170611 1770511833 2163958907 3737747203 5311535499 6491876721 11213241609 19475630163 23803547977 33639724827 41115219233 58426890489 71410643931 100919174481 123345657699 214231931793 370036973097 452267411563 642695795379 1110110919291 1356802234689 4070406704067 12211220112201