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12142211323312 = 2472181120274219
BaseRepresentation
bin1011000010110001010000…
…1100010101010110110000
31120222210011120202211212001
42300230110030111112300
53042414222044321222
641454015504143344
72362150213221400
oct260542414252660
946883146684761
1012142211323312
113961534821974
1214412aa007b54
136a100c4491c5
142dd986b94800
15160ca7d48e27
hexb0b143155b0

12142211323312 has 120 divisors (see below), whose sum is σ = 27401550920640. Its totient is φ = 5197133450880.

The previous prime is 12142211323309. The next prime is 12142211323381. The reversal of 12142211323312 is 21332311224121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877981139 + ... + 2877985357.

It is an arithmetic number, because the mean of its divisors is an integer number (228346257672).

Almost surely, 212142211323312 is an apocalyptic number.

It is an amenable number.

12142211323312 is an abundant number, since it is smaller than the sum of its proper divisors (15259339597328).

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

12142211323312 is a wasteful number, since it uses less digits than its factorization.

12142211323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8066 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 12142211323312 its reverse (21332311224121), we get a palindrome (33474522547433).

The spelling of 12142211323312 in words is "twelve trillion, one hundred forty-two billion, two hundred eleven million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1811 2027 3622 4054 4219 7244 8108 8438 12677 14189 14488 16216 16876 25354 28378 28976 29533 32432 33752 50708 56756 59066 67504 88739 99323 101416 113512 118132 177478 198646 202832 206731 227024 236264 354956 397292 413462 472528 709912 794584 826924 1419824 1589168 1653848 3307696 3670897 7341794 7640609 8551913 14683588 15281218 17103826 25696279 29367176 30562436 34207652 51392558 53484263 58734352 59863391 61124872 68415304 102785116 106968526 119726782 122249744 136830608 179873953 205570232 213937052 239453564 359747906 374389841 411140464 419043737 427874104 478907128 719495812 748779682 838087474 855748208 957814256 1438991624 1497559364 1676174948 2877983248 2995118728 3352349896 5990237456 6704699792 15487514443 30975028886 61950057772 108412601101 123900115544 216825202202 247800231088 433650404404 758888207707 867300808808 1517776415414 1734601617616 3035552830828 6071105661656 12142211323312