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12211200112221 = 341190131520587
BaseRepresentation
bin1011000110110010010000…
…1111101011011001011101
31121020101020112100102220000
42301230210033223121131
53100032014212042341
641545425313244513
72400141631234635
oct261544417533135
947211215312800
1012211200112221
1139888171330a0
121452742263739
136a768522c7a6
1430304d3816c5
151629947b18b6
hexb1b243eb65d

12211200112221 has 40 divisors (see below), whose sum is σ = 19901954496864. Its totient is φ = 7399901357280.

The previous prime is 12211200112219. The next prime is 12211200112229. The reversal of 12211200112221 is 12221100211221.

12211200112221 is a `hidden beast` number, since 122 + 11 + 200 + 112 + 221 = 666.

It is not a de Polignac number, because 12211200112221 - 21 = 12211200112219 is a prime.

It is a super-2 number, since 2×122112001122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211200112194 and 12211200112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200112229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7270290 + ... + 8790876.

Almost surely, 212211200112221 is an apocalyptic number.

12211200112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211200112221 is a deficient number, since it is larger than the sum of its proper divisors (7690754384643).

12211200112221 is a wasteful number, since it uses less digits than its factorization.

12211200112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529623 (or 1529614 counting only the distinct ones).

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

Adding to 12211200112221 its reverse (12221100211221), we get a palindrome (24432300323442).

The spelling of 12211200112221 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 9013 27039 81117 99143 243351 297429 730053 892287 1520587 2676861 4561761 8030583 13685283 16726457 41055849 50179371 123167547 150538113 451614339 1354843017 13705050631 41115151893 123345455679 150755556941 370036367037 452266670823 1110109101111 1356800012469 4070400037407 12211200112221