Search a number
-
+
12032310333012 = 2234156976156479
BaseRepresentation
bin1010111100010111110110…
…0101010100111001010100
31120121021111101200002020220
42233011331211110321110
53034114132421124022
641331322252354340
72351206603220064
oct257057545247124
946537441602226
1012032310333012
113919968557262
121423b384759b0
13693846607128
142d851cbc53a4
1515cec47ac85c
hexaf17d954e54

12032310333012 has 96 divisors (see below), whose sum is σ = 28849071283200. Its totient is φ = 3900867686400.

The previous prime is 12032310333011. The next prime is 12032310333019. The reversal of 12032310333012 is 21033301323021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032310333011) 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, 213012189 + ... + 213068667.

It is an arithmetic number, because the mean of its divisors is an integer number (300511159200).

Almost surely, 212032310333012 is an apocalyptic number.

12032310333012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12032310333012 is an abundant number, since it is smaller than the sum of its proper divisors (16816760950188).

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

12032310333012 is a wasteful number, since it uses less digits than its factorization.

12032310333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57857 (or 57855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12032310333012 its reverse (21033301323021), we get a palindrome (33065611656033).

Subtracting 12032310333012 from its reverse (21033301323021), we obtain a palindrome (9000990990009).

The spelling of 12032310333012 in words is "twelve trillion, thirty-two billion, three hundred ten million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 569 761 1138 1522 1707 2276 2283 3044 3414 4566 6828 9132 23329 31201 46658 56479 62402 69987 93316 93603 112958 124804 139974 169437 187206 225916 279948 338874 374412 433009 677748 866018 1299027 1732036 2315639 2598054 4631278 5196108 6946917 9262556 13893834 17753369 27787668 32136551 35506738 42980519 53260107 64273102 71013476 85961038 96409653 106520214 128546204 128941557 171922076 192819306 213040428 257883114 385638612 515766228 1317598591 1762201279 2635197182 3524402558 3952795773 5270394364 5286603837 7048805116 7905591546 10573207674 15811183092 21146415348 24455915311 48911830622 73367745933 97823661244 146735491866 293470983732 1002692527751 2005385055502 3008077583253 4010770111004 6016155166506 12032310333012