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12130313220032 = 267791093144419
BaseRepresentation
bin1011000010000100111100…
…0000101010111111000000
31120221122110101101120112012
42300201033000222333000
53042220340141020112
641444331114352052
72361246320056550
oct260411700527700
946848411346465
1012130313220032
113957489637867
12143ab2942b628
1369cb644405c7
142dd1788dd160
1516080d505022
hexb084f02afc0

12130313220032 has 112 divisors (see below), whose sum is σ = 28113630336000. Its totient is φ = 5085806828544.

The previous prime is 12130313220001. The next prime is 12130313220059. The reversal of 12130313220032 is 23002231303121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285519 + ... + 5429937.

Almost surely, 212130313220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130313220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056815168000).

12130313220032 is an abundant number, since it is smaller than the sum of its proper divisors (15983317115968).

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

12130313220032 is a wasteful number, since it uses less digits than its factorization.

12130313220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144626 (or 3144616 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12130313220032 its reverse (23002231303121), we get a palindrome (35132544523153).

The spelling of 12130313220032 in words is "twelve trillion, one hundred thirty billion, three hundred thirteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 109 112 158 218 224 316 436 448 553 632 763 872 1106 1264 1526 1744 2212 2528 3052 3488 4424 5056 6104 6976 8611 8848 12208 17222 17696 24416 34444 35392 48832 60277 68888 120554 137776 241108 275552 482216 551104 964432 1928864 3144419 3857728 6288838 12577676 22010933 25155352 44021866 50310704 88043732 100621408 176087464 201242816 248409101 342741671 352174928 496818202 685483342 704349856 993636404 1370966684 1408699712 1738863707 1987272808 2399191697 2741933368 3477727414 3974545616 4798383394 5483866736 6955454828 7949091232 9596766788 10967733472 13910909656 15898182464 19193533576 21935466944 27076592009 27821819312 38387067152 54153184018 55643638624 76774134304 108306368036 111287277248 153548268608 189536144063 216612736072 379072288126 433225472144 758144576252 866450944288 1516289152504 1732901888576 3032578305008 6065156610016 12130313220032