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12000202221012 = 2233167761632683
BaseRepresentation
bin1010111010100000001111…
…0010100110010111010100
31120111012121201120222212120
42232220003302212113110
53033102403232033022
641304452232215540
72345662124610105
oct256500362462724
946435551528776
1012000202221012
113907291344505
12141987753a5b0
136907ca573aa5
142d6b547bc3ac
1515c245a67d5c
hexaea03ca65d4

12000202221012 has 96 divisors (see below), whose sum is σ = 29373706113024. Its totient is φ = 3808239494400.

The previous prime is 12000202220971. The next prime is 12000202221013. The reversal of 12000202221012 is 21012220200021.

It is a junction number, because it is equal to n+sod(n) for n = 12000202220982 and 12000202221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000202221013) 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, 18650823 + ... + 19283505.

It is an arithmetic number, because the mean of its divisors is an integer number (305976105344).

Almost surely, 212000202221012 is an apocalyptic number.

12000202221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000202221012 is an abundant number, since it is smaller than the sum of its proper divisors (17373503892012).

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

12000202221012 is a wasteful number, since it uses less digits than its factorization.

12000202221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633549 (or 633547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000202221012 its reverse (21012220200021), we get a palindrome (33012422421033).

The spelling of 12000202221012 in words is "twelve trillion, two hundred two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 67 93 124 134 186 201 268 372 402 761 804 1522 2077 2283 3044 4154 4566 6231 8308 9132 12462 23591 24924 47182 50987 70773 94364 101974 141546 152961 203948 283092 305922 611844 632683 1265366 1580597 1898049 2530732 3161194 3796098 4741791 6322388 7592196 9483582 18967164 19613173 39226346 42389761 58839519 78452692 84779522 117679038 127169283 169559044 235358076 254338566 481471763 508677132 962943526 1314082591 1444415289 1925887052 2628165182 2888830578 3942247773 5256330364 5777661156 7884495546 14925624653 15768991092 29851249306 32258608121 44776873959 59702498612 64517216242 89553747918 96775824363 129034432484 179107495836 193551648726 387103297452 1000016851751 2000033703502 3000050555253 4000067407004 6000101110506 12000202221012