Search a number
-
+
12120132313212 = 22371144092975057
BaseRepresentation
bin1011000001011111000000…
…1011100110000001111100
31120220200011212012220220020
42300113300023212001330
53042034012333010322
641435524550252140
72360436114561510
oct260276013460174
946820155186806
1012120132313212
1139531347a0890
121438b67957050
1369bc011225a1
142dc890728140
1516041481005c
hexb05f02e607c

12120132313212 has 96 divisors (see below), whose sum is σ = 35266575536640. Its totient is φ = 3147371243520.

The previous prime is 12120132313207. The next prime is 12120132313231. The reversal of 12120132313212 is 21231323102121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586388 + ... + 5561444.

It is an arithmetic number, because the mean of its divisors is an integer number (367360161840).

Almost surely, 212120132313212 is an apocalyptic number.

12120132313212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120132313212 is an abundant number, since it is smaller than the sum of its proper divisors (23146443223428).

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

12120132313212 is a wasteful number, since it uses less digits than its factorization.

12120132313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979491 (or 2979489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12120132313212 its reverse (21231323102121), we get a palindrome (33351455415333).

The spelling of 12120132313212 in words is "twelve trillion, one hundred twenty billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 4409 8818 13227 17636 26454 30863 48499 52908 61726 92589 96998 123452 145497 185178 193996 290994 339493 370356 581988 678986 1018479 1357972 2036958 2975057 4073916 5950114 8925171 11900228 17850342 20825399 32725627 35700684 41650798 62476197 65451254 83301596 98176881 124952394 130902508 196353762 229079389 249904788 392707524 458158778 687238167 916317556 1374476334 2748952668 13117026313 26234052626 39351078939 52468105252 78702157878 91819184191 144287289443 157404315756 183638368382 275457552573 288574578886 367276736764 432861868329 550915105146 577149157772 865723736658 1010011026101 1101830210292 1731447473316 2020022052202 3030033078303 4040044104404 6060066156606 12120132313212