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12012131423320 = 2357131349938351
BaseRepresentation
bin1010111011001100101011…
…0100111001010001011000
31120112100102002111021001021
42232303022310321101120
53033301321121021240
641314144052332224
72346563546265430
oct256631264712130
946470362437037
1012012131423320
11391135303a796
121420046614074
1369197bb4a992
142d7566c4b2c0
1515c6e2ea154a
hexaeccad39458

12012131423320 has 128 divisors (see below), whose sum is σ = 31213340928000. Its totient is φ = 4075291584000.

The previous prime is 12012131423311. The next prime is 12012131423353. The reversal of 12012131423320 is 2332413121021.

12012131423320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120121314233202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12332145 + ... + 13270495.

It is an arithmetic number, because the mean of its divisors is an integer number (243854226000).

Almost surely, 212012131423320 is an apocalyptic number.

12012131423320 is a gapful number since it is divisible by the number (10) 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 12012131423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606670464000).

12012131423320 is an abundant number, since it is smaller than the sum of its proper divisors (19201209504680).

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

12012131423320 is a wasteful number, since it uses less digits than its factorization.

12012131423320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938849 (or 938845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12012131423320 its reverse (2332413121021), we get a palindrome (14344544544341).

The spelling of 12012131423320 in words is "twelve trillion, twelve billion, one hundred thirty-one million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 349 524 655 698 917 1048 1310 1396 1745 1834 2443 2620 2792 3490 3668 4585 4886 5240 6980 7336 9170 9772 12215 13960 18340 19544 24430 36680 45719 48860 91438 97720 182876 228595 320033 365752 457190 640066 914380 938351 1280132 1600165 1828760 1876702 2560264 3200330 3753404 4691755 6400660 6568457 7506808 9383510 12801320 13136914 18767020 26273828 32842285 37534040 52547656 65684570 122923981 131369140 245847962 262738280 327484499 491695924 614619905 654968998 860467867 983391848 1229239810 1309937996 1637422495 1720935734 2292391493 2458479620 2619875992 3274844990 3441871468 4302339335 4584782986 4916959240 6549689980 6883742936 8604678670 9169565972 11461957465 13099379960 17209357340 18339131944 22923914930 34418714680 42900469369 45847829860 85800938738 91695659720 171601877476 214502346845 300303285583 343203754952 429004693690 600606571166 858009387380 1201213142332 1501516427915 1716018774760 2402426284664 3003032855830 6006065711660 12012131423320