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12212102133 = 3471117149773
BaseRepresentation
bin10110101111110010…
…11110001111110101
31011112002020001210000
423113321132033311
5200002244232013
65335443421513
7611425104210
oct132771361765
934462201700
1012212102133
1151a74600a0
122449984899
1311c809844a
1483bc70777
154b71ba973
hex2d7e5e3f5

12212102133 has 160 divisors (see below), whose sum is σ = 24275116800. Its totient is φ = 5923031040.

The previous prime is 12212102107. The next prime is 12212102137. The reversal of 12212102133 is 33120121221.

It is not a de Polignac number, because 12212102133 - 29 = 12212101621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212102137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15797935 + ... + 15798707.

It is an arithmetic number, because the mean of its divisors is an integer number (151719480).

Almost surely, 212212102133 is an apocalyptic number.

It is an amenable number.

12212102133 is a deficient number, since it is larger than the sum of its proper divisors (12063014667).

12212102133 is a wasteful number, since it uses less digits than its factorization.

12212102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212102133 its reverse (33120121221), we get a palindrome (45332223354).

The spelling of 12212102133 in words is "twelve billion, two hundred twelve million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 149 153 187 189 231 297 357 447 459 561 567 693 773 891 1043 1071 1309 1341 1377 1639 1683 2079 2319 2533 3129 3213 3927 4023 4917 5049 5411 6237 6957 7599 8503 9387 9639 11473 11781 12069 13141 14751 15147 16233 17731 20871 22797 25509 27863 28161 34419 35343 39423 44253 48699 53193 59521 62613 68391 76527 83589 84483 91987 103257 106029 115177 118269 132759 144551 146097 159579 178563 195041 205173 229581 250767 275961 309771 345531 354807 433653 438291 478737 535689 585123 688743 752301 806239 827883 929313 1011857 1036593 1064421 1266947 1300959 1436211 1607067 1755369 1958009 2256903 2418717 2483649 3035571 3109779 3800841 3902877 4821201 5266107 5874027 7256151 7450947 8868629 9106713 9329337 11402523 11708631 13706063 15798321 17622081 21538099 21768453 26605887 27320139 34207569 41118189 52866243 64614297 65305359 79817661 81960417 102622707 123354567 150766693 158598729 193842891 239452983 370063701 452300079 581528673 718358949 1110191103 1356900237 1744586019 4070700711 12212102133