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12133114516132 = 2217592835471129
BaseRepresentation
bin1011000010001111010111…
…1110110001001010100100
31120221220200121112011100121
42300203311332301022210
53042242104304004012
641445513104051324
72361405613513561
oct260436576611244
946856617464317
1012133114516132
113958696920005
12143b58b603b44
136a01bc90276c
142dd36297d868
151609243e8a07
hexb08f5fb12a4

12133114516132 has 144 divisors (see below), whose sum is σ = 23207842042560. Its totient is φ = 5530260363264.

The previous prime is 12133114516097. The next prime is 12133114516169. The reversal of 12133114516132 is 23161541133121.

12133114516132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10746779344 + ... + 10746780472.

It is an arithmetic number, because the mean of its divisors is an integer number (161165569740).

Almost surely, 212133114516132 is an apocalyptic number.

It is an amenable number.

12133114516132 is a deficient number, since it is larger than the sum of its proper divisors (11074727526428).

12133114516132 is a wasteful number, since it uses less digits than its factorization.

12133114516132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1837 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

Adding to 12133114516132 its reverse (23161541133121), we get a palindrome (35294655649253).

The spelling of 12133114516132 in words is "twelve trillion, one hundred thirty-three billion, one hundred fourteen million, five hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 59 68 83 118 166 236 332 547 1003 1094 1129 1411 2006 2188 2258 2822 3481 4012 4516 4897 5644 6962 9299 9794 13924 18598 19193 19588 32273 37196 38386 45401 59177 64546 66611 76772 83249 90802 93707 118354 129092 133222 166498 181604 187414 236708 266444 288923 332996 374828 548641 577846 617563 771817 1097282 1132387 1155692 1235126 1543634 1593019 1904107 2194564 2264774 2470252 2678659 3087268 3186038 3808214 3930049 4529548 4911691 5357318 5528713 6372076 7616428 7860098 9823382 10498571 10714636 11057426 15720196 19646764 20997142 22114852 32369819 36436217 41994284 45537203 51257729 64739638 66810833 72872434 91074406 93988121 102515458 129479276 133621666 145744868 158040881 182148812 187976242 205030916 267243332 316081762 326194067 375952484 619415689 632163524 652388134 871381393 1238831378 1304776268 1742762786 2149736803 2477662756 2686694977 3024206011 3485525572 4299473606 5373389954 5545299139 6048412022 8598947212 10746779908 11090598278 12096824044 22181196556 36545525651 51411502187 73091051302 102823004374 146182102604 178428154649 205646008748 356856309298 713712618596 3033278629033 6066557258066 12133114516132