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12106543121232 = 2437314724729841
BaseRepresentation
bin1011000000101100011000…
…1100111100001101010000
31120212101002210202102222120
42300023012030330031100
53041323200014334412
641425400310534240
72356445265421140
oct260130614741520
946771083672876
1012106543121232
1139483a0a7a80a
1214363b4967380
1369a84696a5a1
142dbd61a2a920
1515edbb7c7b8c
hexb02c633c350

12106543121232 has 160 divisors (see below), whose sum is σ = 37681157013504. Its totient is φ = 3276209203200.

The previous prime is 12106543121209. The next prime is 12106543121237. The reversal of 12106543121232 is 23212134560121.

It is a junction number, because it is equal to n+sod(n) for n = 12106543121193 and 12106543121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106543121237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11875369 + ... + 12854472.

Almost surely, 212106543121232 is an apocalyptic number.

12106543121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12106543121232 is an abundant number, since it is smaller than the sum of its proper divisors (25574613892272).

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

12106543121232 is a wasteful number, since it uses less digits than its factorization.

12106543121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24729937 (or 24729931 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 12106543121232 its reverse (23212134560121), we get a palindrome (35318677681353).

The spelling of 12106543121232 in words is "twelve trillion, one hundred six billion, five hundred forty-three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4371 5208 5264 5828 7896 8742 10199 10416 11656 15792 17484 20398 23312 30597 34968 40796 61194 69936 81592 122388 163184 244776 489552 24729841 49459682 74189523 98919364 148379046 173108887 197838728 296758092 346217774 395677456 519326661 593516184 692435548 766625071 1038653322 1162302527 1187032368 1384871096 1533250142 2077306644 2299875213 2324605054 2769742192 3066500284 3486907581 4154613288 4599750426 4649210108 5366375497 6133000568 6973815162 8136117689 8309226576 9199500852 9298420216 10732750994 12266001136 13947630324 16099126491 16272235378 18399001704 18596840432 21465501988 24408353067 27895260648 32198252982 32544470756 36031378337 36798003408 42931003976 48816706134 55790521296 64396505964 65088941512 72062756674 85862007952 97633412268 108094135011 128793011928 130177883024 144125513348 195266824536 216188270022 252219648359 257586023856 288251026696 390533649072 432376540044 504439296718 576502053392 756658945077 864753080088 1008878593436 1513317890154 1729506160176 2017757186872 3026635780308 4035514373744 6053271560616 12106543121232