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12230132030112 = 253307599692779
BaseRepresentation
bin1011000111111000110010…
…1011001101101010100000
31121022012002221002111221010
42301332030223031222200
53100334302244430422
642002240050100520
72401412034002553
oct261761453155240
947265087074833
1012230132030112
113995851768227
12145634657a740
136a93b1550679
14303d2787669a
1516320189db0c
hexb1f8cacdaa0

12230132030112 has 96 divisors (see below), whose sum is σ = 32262487488000. Its totient is φ = 4056641941248.

The previous prime is 12230132030041. The next prime is 12230132030113. The reversal of 12230132030112 is 21103023103221.

12230132030112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122301320301122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12230132030113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17307339 + ... + 18000117.

It is an arithmetic number, because the mean of its divisors is an integer number (336067578000).

Almost surely, 212230132030112 is an apocalyptic number.

12230132030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12230132030112 is an abundant number, since it is smaller than the sum of its proper divisors (20032355457888).

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

12230132030112 is a wasteful number, since it uses less digits than its factorization.

12230132030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693698 (or 693690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12230132030112 its reverse (21103023103221), we get a palindrome (33333155133333).

The spelling of 12230132030112 in words is "twelve trillion, two hundred thirty billion, one hundred thirty-two million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 307 599 614 921 1198 1228 1797 1842 2396 2456 3594 3684 4792 4912 7188 7368 9584 9824 14376 14736 19168 28752 29472 57504 183893 367786 551679 692779 735572 1103358 1385558 1471144 2078337 2206716 2771116 2942288 4156674 4413432 5542232 5884576 8313348 8826864 11084464 16626696 17653728 22168928 33253392 66506784 212683153 414974621 425366306 638049459 829949242 850732612 1244923863 1276098918 1659898484 1701465224 2489847726 2552197836 3319796968 3402930448 4979695452 5104395672 6639593936 6805860896 9959390904 10208791344 13279187872 19918781808 20417582688 39837563616 127397208647 254794417294 382191625941 509588834588 764383251882 1019177669176 1528766503764 2038355338352 3057533007528 4076710676704 6115066015056 12230132030112