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12201011341041 = 3171229646930091
BaseRepresentation
bin1011000110001100010011…
…1100100110011011110001
31121012101221110101020101110
42301203010330212123301
53044400132400403131
641541022304423533
72366331302143455
oct261430474463361
947171843336343
1012201011341041
113984468905546
12145077a017ba9
136a67203b9cc3
14302764120665
1516259a066646
hexb18c4f266f1

12201011341041 has 32 divisors (see below), whose sum is σ = 17242210454400. Its totient is φ = 7647870827520.

The previous prime is 12201011340977. The next prime is 12201011341091. The reversal of 12201011341041 is 14014311010221.

12201011341041 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 12201011341041 - 26 = 12201011340977 is a prime.

It is a super-2 number, since 2×122010113410412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201011340999 and 12201011341017.

It is not an unprimeable number, because it can be changed into a prime (12201011341091) 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, 405455406 + ... + 405485496.

It is an arithmetic number, because the mean of its divisors is an integer number (538819076700).

Almost surely, 212201011341041 is an apocalyptic number.

It is an amenable number.

12201011341041 is a deficient number, since it is larger than the sum of its proper divisors (5041199113359).

12201011341041 is a wasteful number, since it uses less digits than its factorization.

12201011341041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37809.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12201011341041 its reverse (14014311010221), we get a palindrome (26215322351262).

The spelling of 12201011341041 in words is "twelve trillion, two hundred one billion, eleven million, three hundred forty-one thousand, forty-one".

Divisors: 1 3 17 51 1229 3687 6469 19407 20893 30091 62679 90273 109973 329919 511547 1534641 7950401 23851203 36981839 110945517 135156817 194658679 405470451 583976037 628691263 1886073789 3309197543 9927592629 239235516491 717706549473 4067003780347 12201011341041