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12000201221220 = 2235419937509429
BaseRepresentation
bin1010111010100000001110…
…1110110010010001100100
31120111012121122201012102020
42232220003232302101210
53033102403003034340
641304452154543140
72345662113244212
oct256500356622144
946435548635366
1012000201221220
113907290821333
121419877137ab0
136907ca2b39b4
142d6b545dbcb2
1515c24591b9d0
hexaea03bb2464

12000201221220 has 96 divisors (see below), whose sum is σ = 33716767190400. Its totient is φ = 3189002978304.

The previous prime is 12000201221201. The next prime is 12000201221321. The reversal of 12000201221220 is 2212210200021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12000201221220.

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, 23301466 + ... + 23810894.

It is an arithmetic number, because the mean of its divisors is an integer number (351216324900).

Almost surely, 212000201221220 is an apocalyptic number.

12000201221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201221220 is an abundant number, since it is smaller than the sum of its proper divisors (21716565969180).

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

12000201221220 is a wasteful number, since it uses less digits than its factorization.

12000201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510797 (or 510795 counting only the distinct ones).

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

Adding to 12000201221220 its reverse (2212210200021), we get a palindrome (14212411421241).

The spelling of 12000201221220 in words is "twelve trillion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 838 937 1257 1676 1874 2095 2514 2811 3748 4190 4685 5028 5622 6285 8380 9370 11244 12570 14055 18740 25140 28110 56220 392603 509429 785206 1018858 1177809 1528287 1570412 1963015 2037716 2355618 2547145 3056574 3926030 4711236 5094290 5889045 6113148 7641435 7852060 10188580 11778090 15282870 23556180 30565740 213450751 426901502 477334973 640352253 853803004 954669946 1067253755 1280704506 1432004919 1909339892 2134507510 2386674865 2561409012 2864009838 3201761265 4269015020 4773349730 5728019676 6403522530 7160024595 9546699460 12807045060 14320049190 28640098380 200003353687 400006707374 600010061061 800013414748 1000016768435 1200020122122 2000033536870 2400040244244 3000050305305 4000067073740 6000100610610 12000201221220