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12110100212112 = 2437219126957341
BaseRepresentation
bin1011000000111001101000…
…1110001010100110010000
31120212201021201001101100020
42300032122032022212100
53041402441123241422
641431145255423440
72356632400250400
oct260163216124620
946781251041306
1012110100212112
113949956950841
121437028084b80
1369ac928a59a6
142dc1bc20a800
15160028c1095c
hexb039a38a990

12110100212112 has 120 divisors (see below), whose sum is σ = 36582622705152. Its totient is φ = 3441913171200.

The previous prime is 12110100212081. The next prime is 12110100212129. The reversal of 12110100212112 is 21121200101121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12110100212091 and 12110100212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13029439 + ... + 13927902.

Almost surely, 212110100212112 is an apocalyptic number.

12110100212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12110100212112 is an abundant number, since it is smaller than the sum of its proper divisors (24472522493040).

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

12110100212112 is a wasteful number, since it uses less digits than its factorization.

12110100212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26957557 (or 26957544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12110100212112 its reverse (21121200101121), we get a palindrome (33231300313233).

The spelling of 12110100212112 in words is "twelve trillion, one hundred ten billion, one hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 191 196 294 336 382 392 573 588 764 784 1146 1176 1337 1528 2292 2352 2674 3056 4011 4584 5348 8022 9168 9359 10696 16044 18718 21392 28077 32088 37436 56154 64176 74872 112308 149744 224616 449232 26957341 53914682 80872023 107829364 161744046 188701387 215658728 323488092 377402774 431317456 566104161 646976184 754805548 1132208322 1293952368 1320909709 1509611096 2264416644 2641819418 3019222192 3962729127 4528833288 5148852131 5283638836 7925458254 9057666576 10297704262 10567277672 15446556393 15850916508 20595408524 21134555344 30893112786 31701833016 36041964917 41190817048 61786225572 63403666032 72083929834 82381634096 108125894751 123572451144 144167859668 216251789502 247144902288 252293754419 288335719336 432503579004 504587508838 576671438672 756881263257 865007158008 1009175017676 1513762526514 1730014316016 2018350035352 3027525053028 4036700070704 6055050106056 12110100212112