Search a number
-
+
12311203112112 = 2431815412619289
BaseRepresentation
bin1011001100100110110011…
…1000110110010010110000
31121120221100220122012012210
42303021230320312102300
53103201320444041422
642103404424452120
72410312042556322
oct263115470662260
947527326565183
1012311203112112
113a17174228043
121469bb101a040
136b3c3154c7c8
14307c18983612
15165398de010c
hexb326ce364b0

12311203112112 has 80 divisors (see below), whose sum is σ = 32038778102240. Its totient is φ = 4073516697600.

The previous prime is 12311203112081. The next prime is 12311203112119. The reversal of 12311203112112 is 21121130211321.

It is a super-2 number, since 2×123112031121122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12311203112119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3390564 + ... + 6009852.

It is an arithmetic number, because the mean of its divisors is an integer number (400484726278).

Almost surely, 212311203112112 is an apocalyptic number.

12311203112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12311203112112 is an abundant number, since it is smaller than the sum of its proper divisors (19727574990128).

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

12311203112112 is a wasteful number, since it uses less digits than its factorization.

12311203112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620022 (or 2620016 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12311203112112 its reverse (21121130211321), we get a palindrome (33432333323433).

The spelling of 12311203112112 in words is "twelve trillion, three hundred eleven billion, two hundred three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 541 543 724 1082 1086 1448 1623 2164 2172 2896 3246 4328 4344 6492 8656 8688 12984 25968 97921 195842 293763 391684 587526 783368 1175052 1566736 2350104 2619289 4700208 5238578 7857867 10477156 15715734 20954312 31431468 41908624 62862936 125725872 474091309 948182618 1417035349 1422273927 1896365236 2834070698 2844547854 3792730472 4251106047 5668141396 5689095708 7585460944 8502212094 11336282792 11378191416 17004424188 22672565584 22756382832 34008848376 68017696752 256483398169 512966796338 769450194507 1025933592676 1538900389014 2051867185352 3077800778028 4103734370704 6155601556056 12311203112112