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12321101312334 = 2332373135895499
BaseRepresentation
bin1011001101001011101011…
…0111011111000101001110
31121121212220201211212022000
42303102322313133011032
53103332103413443314
642112122533333130
72411112243102033
oct263227267370516
947555821755260
1012321101312334
113a20393531401
12146bab3a971a6
136b4b4b116209
143084b73a738a
15165777d90209
hexb34baddf14e

12321101312334 has 64 divisors (see below), whose sum is σ = 28962048960000. Its totient is φ = 3874652438976.

The previous prime is 12321101312323. The next prime is 12321101312393. The reversal of 12321101312334 is 43321310112321.

12321101312334 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 10 + 1 + 312 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12321101312298 and 12321101312307.

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, 67857084 + ... + 68038415.

It is an arithmetic number, because the mean of its divisors is an integer number (452532015000).

Almost surely, 212321101312334 is an apocalyptic number.

12321101312334 is an abundant number, since it is smaller than the sum of its proper divisors (16640947647666).

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

12321101312334 is a wasteful number, since it uses less digits than its factorization.

12321101312334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135895606 (or 135895600 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12321101312334 its reverse (43321310112321), we get a palindrome (55642411424655).

The spelling of 12321101312334 in words is "twelve trillion, three hundred twenty-one billion, one hundred one million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 621 657 1242 1314 1679 1971 3358 3942 5037 10074 15111 30222 45333 90666 135895499 271790998 407686497 815372994 1223059491 2446118982 3125596477 3669178473 6251192954 7338356946 9376789431 9920371427 18753578862 19840742854 28130368293 29761114281 56260736586 59522228562 84391104879 89283342843 168782209758 178566685686 228168542821 267850028529 456337085642 535700057058 684505628463 1369011256926 2053516885389 4107033770778 6160550656167 12321101312334