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12201244210221 = 3113747210144789
BaseRepresentation
bin1011000110001101001011…
…0100111011010000101101
31121012102112200120012211220
42301203102310323100231
53044401122004211341
641541101343533553
72366340130406403
oct261432264732055
947172480505756
1012201244210221
1139845782a8610
121450823bba2b9
136a6759712211
1430278701b473
151625b0714a66
hexb18d2d3b42d

12201244210221 has 96 divisors (see below), whose sum is σ = 18807783949440. Its totient is φ = 6971879232000.

The previous prime is 12201244210219. The next prime is 12201244210249.

12201244210221 is nontrivially palindromic in base 10.

12201244210221 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 12201244210221 - 21 = 12201244210219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201244210191 and 12201244210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201244210121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272393695 + ... + 272438483.

It is an arithmetic number, because the mean of its divisors is an integer number (195914416140).

Almost surely, 212201244210221 is an apocalyptic number.

12201244210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201244210221 is a deficient number, since it is larger than the sum of its proper divisors (6606539739219).

12201244210221 is a wasteful number, since it uses less digits than its factorization.

12201244210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45035 (or 44988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1220124 and 4210221, that added together give a palindrome (5430345).

The spelling of 12201244210221 in words is "twelve trillion, two hundred one billion, two hundred forty-four million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 47 101 111 141 303 407 517 1111 1221 1551 1739 2209 3333 3737 4747 5217 6627 11211 14241 19129 24299 41107 44789 52217 57387 72897 81733 123321 134367 156651 175639 223109 245199 492679 526917 669327 899063 1478037 1657193 1932029 2105083 2454199 2697189 4523689 4971579 5796087 6315249 7362597 8255033 13571067 18229123 23155913 24765099 49760579 54687369 69467739 77888071 90805363 98938901 149281737 167376493 212613383 233664213 272416089 296816703 502129479 637840149 856768781 1088327911 1841141423 2338747213 2570306343 3264983733 3660739337 5523424269 7016241639 7866695171 9992829001 10982218011 23600085513 29978487003 40268132707 86533646881 109921119011 120804398121 259600940643 329763357033 369734673037 1109204019111 4067081403407 12201244210221