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12331233312 = 2533713126501
BaseRepresentation
bin10110111101111111…
…11011000000100000
31011211101101120000220
423132333323000200
5200223243431222
65355341043040
7614402516346
oct133677730040
934741346026
1012331233312
115258729112
122481856480
131216979a78
1484da01996
154c289db5c
hex2deffb020

12331233312 has 96 divisors (see below), whose sum is σ = 33499376064. Its totient is φ = 3968640000.

The previous prime is 12331233311. The next prime is 12331233337. The reversal of 12331233312 is 21333213321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12331233311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 452062 + ... + 478562.

It is an arithmetic number, because the mean of its divisors is an integer number (348951834).

Almost surely, 212331233312 is an apocalyptic number.

12331233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749688032).

12331233312 is an abundant number, since it is smaller than the sum of its proper divisors (21168142752).

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

12331233312 is a wasteful number, since it uses less digits than its factorization.

12331233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26682 (or 26674 counting only the distinct ones).

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

Adding to 12331233312 its reverse (21333213321), we get a palindrome (33664446633).

The spelling of 12331233312 in words is "twelve billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 131 148 222 262 296 393 444 524 592 786 888 1048 1184 1572 1776 2096 3144 3552 4192 4847 6288 9694 12576 14541 19388 26501 29082 38776 53002 58164 77552 79503 106004 116328 155104 159006 212008 232656 318012 424016 465312 636024 848032 980537 1272048 1961074 2544096 2941611 3471631 3922148 5883222 6943262 7844296 10414893 11766444 13886524 15688592 20829786 23532888 27773048 31377184 41659572 47065776 55546096 83319144 94131552 111092192 128450347 166638288 256900694 333276576 385351041 513801388 770702082 1027602776 1541404164 2055205552 3082808328 4110411104 6165616656 12331233312