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12111000202000 = 245375411599023
BaseRepresentation
bin1011000000111100111111…
…0111010110101100010000
31120212210121102112121101001
42300033033313112230100
53041411312022431000
641431414445351344
72356663606114540
oct260171767265420
946783542477331
1012111000202000
11394a278976537
121437239568554
1369b0a719789b
142dc265963320
1516007cc3946a
hexb03cfdd6b10

12111000202000 has 160 divisors (see below), whose sum is σ = 33529767957504. Its totient is φ = 4144665024000.

The previous prime is 12111000201983. The next prime is 12111000202019. The reversal of 12111000202000 is 20200011121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6774489 + ... + 8373511.

Almost surely, 212111000202000 is an apocalyptic number.

12111000202000 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 12111000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764883978752).

12111000202000 is an abundant number, since it is smaller than the sum of its proper divisors (21418767755504).

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

12111000202000 is a wasteful number, since it uses less digits than its factorization.

12111000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599594 (or 1599578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12111000202000 its reverse (20200011121), we get a palindrome (12131200213121).

The spelling of 12111000202000 in words is "twelve trillion, one hundred eleven billion, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 541 560 700 875 1000 1082 1400 1750 2000 2164 2705 2800 3500 3787 4328 5410 7000 7574 8656 10820 13525 14000 15148 18935 21640 27050 30296 37870 43280 54100 60592 67625 75740 94675 108200 135250 151480 189350 216400 270500 302960 378700 473375 541000 757400 946750 1082000 1514800 1599023 1893500 3198046 3787000 6396092 7574000 7995115 11193161 12792184 15990230 22386322 25584368 31980460 39975575 44772644 55965805 63960920 79951150 89545288 111931610 127921840 159902300 179090576 199877875 223863220 279829025 319804600 399755750 447726440 559658050 639609200 799511500 865071443 895452880 1119316100 1399145125 1599023000 1730142886 2238632200 2798290250 3198046000 3460285772 4325357215 4477264400 5596580500 6055500101 6920571544 8650714430 11193161000 12111000202 13841143088 17301428860 21626786075 22386322000 24222000404 30277500505 34602857720 43253572150 48444000808 60555001010 69205715440 86507144300 96888001616 108133930375 121110002020 151387502525 173014288600 216267860750 242220004040 302775005050 346028577200 432535721500 484440008080 605550010100 756937512625 865071443000 1211100020200 1513875025250 1730142886000 2422200040400 3027750050500 6055500101000 12111000202000