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12134501512254 = 232111271647729287
BaseRepresentation
bin1011000010010100100010…
…1001101111010000111110
31120222001021021101212100100
42300211020221233100332
53042302424341343004
641450302452141530
72361455155006212
oct260451051572076
946861237355310
1012134501512254
1139592388377a0
12143b8b80078a6
136a038107a324
142dd454c68942
151609a6070739
hexb0948a6f43e

12134501512254 has 96 divisors (see below), whose sum is σ = 28910129504256. Its totient is φ = 3647821988160.

The previous prime is 12134501512157. The next prime is 12134501512277. The reversal of 12134501512254 is 45221510543121.

12134501512254 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 450 + 151 + 2 + 2 + 54 = 666.

It is a super-2 number, since 2×121345015122542 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 414315999 + ... + 414345285.

It is an arithmetic number, because the mean of its divisors is an integer number (301147182336).

Almost surely, 212134501512254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134501512254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455064752128).

12134501512254 is an abundant number, since it is smaller than the sum of its proper divisors (16775627992002).

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

12134501512254 is a wasteful number, since it uses less digits than its factorization.

12134501512254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45910 (or 45907 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12134501512254 in words is "twelve trillion, one hundred thirty-four billion, five hundred one million, five hundred twelve thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 8382 12573 16477 25146 29287 32954 49431 58574 87861 98862 148293 175722 181247 263583 296586 322157 362494 527166 543741 644314 966471 1087482 1631223 1932942 2092579 2899413 3262446 3719449 4185158 5798826 6277737 7438898 11158347 12555474 18833211 22316694 23018369 33475041 37666422 40913939 46036738 66950082 69055107 81827878 122741817 138110214 207165321 245483634 368225451 414330642 482561899 736450902 965123798 1447685697 2895371394 4343057091 5308180889 8686114182 10616361778 15924542667 31849085334 47773628001 61285361173 95547256002 122570722346 183856083519 367712167038 551568250557 674138972903 1103136501114 1348277945806 2022416918709 4044833837418 6067250756127 12134501512254