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12200221221210 = 23351129141648917
BaseRepresentation
bin1011000110001001010111…
…0110100010000101011010
31121012022220101121222202000
42301202111312202011122
53044342023113034320
641540412041421430
72366302566220221
oct261422566420532
947168811558660
1012200221221210
1139840a2902850
12145059949a876
136a66257b6289
143026cb207cb8
151625509e1c90
hexb1895da215a

12200221221210 has 128 divisors (see below), whose sum is σ = 36715399545600. Its totient is φ = 2855642146560.

The previous prime is 12200221221203. The next prime is 12200221221233. The reversal of 12200221221210 is 1212212200221.

It is a happy number.

12200221221210 is a `hidden beast` number, since 1 + 2 + 200 + 221 + 221 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70738329 + ... + 70910588.

It is an arithmetic number, because the mean of its divisors is an integer number (286839058950).

Almost surely, 212200221221210 is an apocalyptic number.

12200221221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200221221210 is an abundant number, since it is smaller than the sum of its proper divisors (24515178324390).

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

12200221221210 is a wasteful number, since it uses less digits than its factorization.

12200221221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141648973 (or 141648967 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200221221210 its reverse (1212212200221), we get a palindrome (13412433421431).

The spelling of 12200221221210 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7830 8613 9570 14355 17226 28710 43065 86130 141648917 283297834 424946751 708244585 849893502 1274840253 1416489170 1558138087 2124733755 2549680506 3116276174 3824520759 4107818593 4249467510 4674414261 6374201265 7649041518 7790690435 8215637186 9348828522 12323455779 12748402530 14023242783 15581380870 19122603795 20539092965 23372071305 24646911558 28046485566 36970367337 38245207590 41078185930 42069728349 45186004523 46744142610 61617278895 70116213915 73940734674 84139456698 90372009046 110911102011 123234557790 135558013569 140232427830 184851836685 210348641745 221822204022 225930022615 271116027138 369703673370 406674040707 420697283490 451860045230 554555510055 677790067845 813348081414 1109111020110 1220022122121 1355580135690 2033370203535 2440044244242 4066740407070 6100110610605 12200221221210