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12012121331000 = 235376725612199
BaseRepresentation
bin1010111011001100101000…
…1110011001010100111000
31120112100101101111111222122
42232303022032121110320
53033301311030043000
641314143052140412
72346563364432650
oct256631216312470
946470341444878
1012012121331000
11391134837722a
121420043167708
13691979a260ab
142d7565781360
1515c6e215b085
hexaecca399538

12012121331000 has 128 divisors (see below), whose sum is σ = 32603306112000. Its totient is φ = 4056972163200.

The previous prime is 12012121330997. The next prime is 12012121331017. The reversal of 12012121331000 is 13312121021.

12012121331000 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 2×120121213310002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12012121331000.

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, 12337100 + ... + 13275099.

It is an arithmetic number, because the mean of its divisors is an integer number (254713329000).

Almost surely, 212012121331000 is an apocalyptic number.

12012121331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012121331000 is an abundant number, since it is smaller than the sum of its proper divisors (20591184781000).

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

12012121331000 is a wasteful number, since it uses less digits than its factorization.

12012121331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25612294 (or 25612280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12012121331000 its reverse (13312121021), we get a palindrome (12025433452021).

The spelling of 12012121331000 in words is "twelve trillion, twelve billion, one hundred twenty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 125 134 140 175 200 250 268 280 335 350 469 500 536 670 700 875 938 1000 1340 1400 1675 1750 1876 2345 2680 3350 3500 3752 4690 6700 7000 8375 9380 11725 13400 16750 18760 23450 33500 46900 58625 67000 93800 117250 234500 469000 25612199 51224398 102448796 128060995 179285393 204897592 256121990 358570786 512243980 640304975 717141572 896426965 1024487960 1280609950 1434283144 1716017333 1792853930 2561219900 3201524875 3432034666 3585707860 4482134825 5122439800 6403049750 6864069332 7171415720 8580086665 8964269650 12012121331 12806099500 13728138664 17160173330 17928539300 22410674125 24024242662 25612199000 34320346660 35857078600 42900433325 44821348250 48048485324 60060606655 68640693320 85800866650 89642696500 96096970648 120121213310 171601733300 179285393000 214502166625 240242426620 300303033275 343203466600 429004333250 480484853240 600606066550 858008666500 1201212133100 1501515166375 1716017333000 2402424266200 3003030332750 6006060665500 12012121331000