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12102214212 = 2234116435281
BaseRepresentation
bin10110100010101100…
…10010001001000100
31011020102110011220000
423101112102021010
5144241131323322
65320520241300
7605622060234
oct132126221104
934212404800
1012102214212
115150425730
122419010230
1311ab3a20ca
1482b427cc4
154ac7113ac
hex2d1592244

12102214212 has 120 divisors (see below), whose sum is σ = 34573943712. Its totient is φ = 3660940800.

The previous prime is 12102214183. The next prime is 12102214259. The reversal of 12102214212 is 21241220121.

12102214212 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2289012 + ... + 2294292.

Almost surely, 212102214212 is an apocalyptic number.

12102214212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286971856).

12102214212 is an abundant number, since it is smaller than the sum of its proper divisors (22471729500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102214212 is a wasteful number, since it uses less digits than its factorization.

12102214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12102214212 its reverse (21241220121), we get a palindrome (33343434333).

The spelling of 12102214212 in words is "twelve billion, one hundred two million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 643 891 1188 1286 1782 1929 2572 3564 3858 5281 5787 7073 7716 10562 11574 14146 15843 17361 21124 21219 23148 28292 31686 34722 42438 47529 52083 58091 63372 63657 69444 84876 95058 104166 116182 127314 142587 174273 190116 190971 208332 232364 254628 285174 348546 381942 427761 522819 570348 572913 697092 763884 855522 1045638 1145826 1568457 1711044 2091276 2291652 3136914 3395683 4705371 6273828 6791366 9410742 10187049 13582732 18821484 20374098 30561147 37352513 40748196 61122294 74705026 91683441 112057539 122244588 149410052 183366882 224115078 275050323 336172617 366733764 448230156 550100646 672345234 1008517851 1100201292 1344690468 2017035702 3025553553 4034071404 6051107106 12102214212