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12111332133201 = 3717227332514591
BaseRepresentation
bin1011000000111110001110…
…1001100100100101010001
31120212211110120010110101020
42300033203221210211101
53041413002011230301
641431511424030053
72360005046355150
oct260174351444521
946784416113336
1012111332133201
11394a42927a344
121437310762329
1369b12ab95692
142dc297a89597
1516009be54436
hexb03e3a64951

12111332133201 has 64 divisors (see below), whose sum is σ = 19559842799616. Its totient is φ = 6507371520000.

The previous prime is 12111332133163. The next prime is 12111332133317. The reversal of 12111332133201 is 10233123311121.

It is not a de Polignac number, because 12111332133201 - 214 = 12111332116817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111332133001) 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, 2638057416 + ... + 2638062006.

It is an arithmetic number, because the mean of its divisors is an integer number (305622543744).

Almost surely, 212111332133201 is an apocalyptic number.

It is an amenable number.

12111332133201 is a deficient number, since it is larger than the sum of its proper divisors (7448510666415).

12111332133201 is a wasteful number, since it uses less digits than its factorization.

12111332133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12111332133201 its reverse (10233123311121), we get a palindrome (22344455444322).

The spelling of 12111332133201 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 17 21 51 119 357 2273 3251 4591 6819 9753 13773 15911 22757 32137 38641 47733 55267 68271 78047 96411 115923 165801 234141 270487 386869 546329 811461 1160607 1638987 7389523 10435343 14925341 22168569 31306029 44776023 51726661 73047401 104477387 125621891 155179983 177400831 219142203 253730797 313432161 376865673 532202493 761192391 879353237 1241805817 1776115579 2638059711 3725417451 5328346737 33925300093 101775900279 237477100651 576730101581 712431301953 1730190304743 4037110711067 12111332133201