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12220220022010 = 25711132934166557
BaseRepresentation
bin1011000111010011110111…
…0111111001110011111010
31121021020112010220022222221
42301310331313321303322
53100204002311201020
641553520325234254
72400611305221010
oct261647567716372
947236463808887
1012220220022010
1139916256928a0
12145443ab6298a
136a8491b61110
1430366729a8b0
15162d215c26aa
hexb1d3ddf9cfa

12220220022010 has 128 divisors (see below), whose sum is σ = 29634427113984. Its totient is φ = 3503906933760.

The previous prime is 12220220021923. The next prime is 12220220022067. The reversal of 12220220022010 is 1022002202221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849652 + ... + 5016208.

It is an arithmetic number, because the mean of its divisors is an integer number (231518961828).

Almost surely, 212220220022010 is an apocalyptic number.

12220220022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220220022010 is an abundant number, since it is smaller than the sum of its proper divisors (17414207091974).

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

12220220022010 is a wasteful number, since it uses less digits than its factorization.

12220220022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166888.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220220022010 its reverse (1022002202221), we get a palindrome (13242222224231).

It can be divided in two parts, 12 and 220220022010, that added together give a palindrome (220220022022).

The spelling of 12220220022010 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 293 385 455 586 715 770 910 1001 1430 1465 2002 2051 2930 3223 3809 4102 5005 6446 7618 10010 10255 16115 19045 20510 22561 26663 32230 38090 41899 45122 53326 83798 112805 133315 209495 225610 266630 293293 418990 586586 1466465 2932930 4166557 8333114 20832785 29165899 41665570 45832127 54165241 58331798 91664254 108330482 145829495 229160635 270826205 291658990 320824889 379156687 458321270 541652410 595817651 641649778 758313374 1191635302 1220801201 1604124445 1895783435 2441602402 2979088255 3208248890 3791566870 4170723557 5958176510 6104006005 8341447114 8545608407 12208012010 13428813211 15870415613 17091216814 20853617785 26857626422 31740831226 41707235570 42728042035 67144066055 79352078065 85456084070 94001692477 111092909291 134288132110 158704156130 174574571743 188003384954 222185818582 349149143486 470008462385 555464546455 872872858715 940016924770 1110929092910 1222022002201 1745745717430 2444044004402 6110110011005 12220220022010