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12001102231332 = 22371103577237011
BaseRepresentation
bin1010111010100011100101…
…1011110111011100100100
31120111021221110010020221010
42232220321123313130210
53033111224132400312
641305121422422220
72346023333560644
oct256507133673444
946437843106833
1012001102231332
113907703383595
121419a88a31970
13690911b72086
142d6bdc13c524
1515c299a9793c
hexaea396f7724

12001102231332 has 96 divisors (see below), whose sum is σ = 28722486933504. Its totient is φ = 3898947225600.

The previous prime is 12001102231331. The next prime is 12001102231337. The reversal of 12001102231332 is 23313220110021.

It is a junction number, because it is equal to n+sod(n) for n = 12001102231299 and 12001102231308.

It is not an unprimeable number, because it can be changed into a prime (12001102231331) 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, 50516707 + ... + 50753717.

It is an arithmetic number, because the mean of its divisors is an integer number (299192572224).

Almost surely, 212001102231332 is an apocalyptic number.

12001102231332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001102231332 is an abundant number, since it is smaller than the sum of its proper divisors (16721384702172).

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

12001102231332 is a wasteful number, since it uses less digits than its factorization.

12001102231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237769 (or 237767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12001102231332 its reverse (23313220110021), we get a palindrome (35314322341353).

The spelling of 12001102231332 in words is "twelve trillion, one billion, one hundred two million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 103 142 206 213 284 309 412 426 577 618 852 1154 1236 1731 2308 3462 6924 7313 14626 21939 29252 40967 43878 59431 81934 87756 118862 122901 163868 178293 237011 237724 245802 356586 474022 491604 711033 713172 948044 1422066 2844132 4219601 8439202 12658803 16827781 16878404 24412133 25317606 33655562 48824266 50483343 50635212 67311124 73236399 97648532 100966686 136755347 146472798 201933372 273510694 292945596 410266041 547021388 820532082 1641064164 1733261443 3466522886 5199784329 6933045772 9709629637 10399568658 14085800741 19419259274 20799137316 28171601482 29128888911 38838518548 42257402223 56343202964 58257777822 84514804446 116515555644 169029608892 1000091852611 2000183705222 3000275557833 4000367410444 6000551115666 12001102231332