Search a number
-
+
12135524152000 = 26532416294359
BaseRepresentation
bin1011000010011000010110…
…0110110011001011000000
31120222010220112200100100111
42300212011212303023000
53042312023140331000
641450552143001104
72361522413212204
oct260460546631300
946863815610314
1012135524152000
113959713014107
12143bb42599194
136a04b4bb32c2
142dd5109cab04
15160a15c24cba
hexb09859b32c0

12135524152000 has 112 divisors (see below), whose sum is σ = 30178334197440. Its totient is φ = 4834066944000.

The previous prime is 12135524151979. The next prime is 12135524152007. The reversal of 12135524152000 is 25142553121.

It is not an unprimeable number, because it can be changed into a prime (12135524152007) 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, 1219180 + ... + 5075179.

Almost surely, 212135524152000 is an apocalyptic number.

12135524152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135524152000 is an abundant number, since it is smaller than the sum of its proper divisors (18042810045440).

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

12135524152000 is an equidigital number, since it uses as much as digits as its factorization.

12135524152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294627 (or 6294607 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 12135524152000 in words is "twelve trillion, one hundred thirty-five billion, five hundred twenty-four million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 800 964 1000 1205 1600 1928 2000 2410 3856 4000 4820 6025 7712 8000 9640 12050 15424 19280 24100 30125 38560 48200 60250 77120 96400 120500 192800 241000 385600 482000 964000 1928000 6294359 12588718 25177436 31471795 50354872 62943590 100709744 125887180 157358975 201419488 251774360 314717950 402838976 503548720 629435900 786794875 1007097440 1258871800 1516940519 1573589750 2014194880 2517743600 3033881038 3147179500 5035487200 6067762076 6294359000 7584702595 10070974400 12135524152 12588718000 15169405190 24271048304 25177436000 30338810380 37923512975 48542096608 50354872000 60677620760 75847025950 97084193216 121355241520 151694051900 189617564875 242710483040 303388103800 379235129750 485420966080 606776207600 758470259500 1213552415200 1516940519000 2427104830400 3033881038000 6067762076000 12135524152000