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12320333321312 = 252325166691567
BaseRepresentation
bin1011001101001000110100…
…0101110101010001100000
31121121210221012201212200002
42303102031011311101200
53103324020312240222
642111514420515132
72411054226222122
oct263221505652140
947553835655602
1012320333321312
113a20029a73385
12146b91a84baa8
136b4a57c8c863
143084433b1212
1516573073c392
hexb348d175460

12320333321312 has 48 divisors (see below), whose sum is σ = 25411088005632. Its totient is φ = 5868857808000.

The previous prime is 12320333321239. The next prime is 12320333321353. The reversal of 12320333321312 is 21312333302321.

It is a super-2 number, since 2×123203333213122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33161048 + ... + 33530519.

It is an arithmetic number, because the mean of its divisors is an integer number (529397666784).

Almost surely, 212320333321312 is an apocalyptic number.

It is an amenable number.

12320333321312 is an abundant number, since it is smaller than the sum of its proper divisors (13090754684320).

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

12320333321312 is a wasteful number, since it uses less digits than its factorization.

12320333321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66691851 (or 66691843 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 12320333321312 its reverse (21312333302321), we get a palindrome (33632666623633).

The spelling of 12320333321312 in words is "twelve trillion, three hundred twenty billion, three hundred thirty-three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 251 368 502 736 1004 2008 4016 5773 8032 11546 23092 46184 92368 184736 66691567 133383134 266766268 533532536 1067065072 1533906041 2134130144 3067812082 6135624164 12271248328 16739583317 24542496656 33479166634 49084993312 66958333268 133916666536 267833333072 385010416291 535666666144 770020832582 1540041665164 3080083330328 6160166660656 12320333321312