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12211110012201 = 3175338991912637
BaseRepresentation
bin1011000110110001111011…
…0111111110010100101001
31121020101000020210212220020
42301230132313332110221
53100031323130342301
641545412334151053
72400136455344442
oct261543667762451
947211006725806
1012211110012201
113988780293671
121452718052489
136a766c674179
1430304140a2c9
1516298b915436
hexb1b1edfe529

12211110012201 has 64 divisors (see below), whose sum is σ = 17630191987200. Its totient is φ = 7489233063936.

The previous prime is 12211110012163. The next prime is 12211110012209. The reversal of 12211110012201 is 10221001111221.

It is a happy number.

It is not a de Polignac number, because 12211110012201 - 211 = 12211110010153 is a prime.

It is a super-4 number, since 4×122111100122014 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12211110012209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966291855 + ... + 966304491.

It is an arithmetic number, because the mean of its divisors is an integer number (275471749800).

Almost surely, 212211110012201 is an apocalyptic number.

It is an amenable number.

12211110012201 is a deficient number, since it is larger than the sum of its proper divisors (5419081974999).

12211110012201 is a wasteful number, since it uses less digits than its factorization.

12211110012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211110012201 its reverse (10221001111221), we get a palindrome (22432111123422).

The spelling of 12211110012201 in words is "twelve trillion, two hundred eleven billion, one hundred ten million, twelve thousand, two hundred one".

Divisors: 1 3 17 51 53 159 389 901 919 1167 2703 2757 6613 12637 15623 19839 20617 37911 46869 48707 61851 146121 214829 350489 357491 644487 669761 828019 1051467 1072473 2009283 2484057 4915793 6077347 11385937 11613403 14747379 18232041 18947023 34157811 34840209 56841069 83568481 197427851 250705443 260537029 322099391 592283553 615510359 781611087 966298173 1846531077 4429129493 4517613767 10463676103 13287388479 13552841301 31391028309 76799434039 230398302117 239433529651 718300588953 4070370004067 12211110012201