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12221122103020 = 22513124131361837
BaseRepresentation
bin1011000111010111001110…
…1001000100011011101100
31121021022212000022210111201
42301311303221010123230
53100212324224244040
641554150032055244
72400642540614545
oct261656351043354
947238760283451
1012221122103020
113991a48906696
121454651094524
136a85a6a05a6c
14303710dd94cc
15162d758b0a9a
hexb1d73a446ec

12221122103020 has 96 divisors (see below), whose sum is σ = 26050956313536. Its totient is φ = 4815490867200.

The previous prime is 12221122102951. The next prime is 12221122103063. The reversal of 12221122103020 is 2030122112221.

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, 197603542 + ... + 197665378.

It is an arithmetic number, because the mean of its divisors is an integer number (271364128266).

Almost surely, 212221122103020 is an apocalyptic number.

12221122103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221122103020 is an abundant number, since it is smaller than the sum of its proper divisors (13829834210516).

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

12221122103020 is a wasteful number, since it uses less digits than its factorization.

12221122103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62531 (or 62529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12221122103020 its reverse (2030122112221), we get a palindrome (14251244215241).

The spelling of 12221122103020 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 131 241 262 313 482 524 626 655 964 1205 1252 1310 1565 2410 2620 3130 4820 6260 31571 41003 61837 63142 75433 82006 123674 126284 150866 157855 164012 205015 247348 301732 309185 315710 377165 410030 618370 631420 754330 820060 1236740 1508660 8100647 9881723 14902717 16201294 19354981 19763446 29805434 32402588 38709962 39526892 40503235 49408615 59610868 74513585 77419924 81006470 96774905 98817230 149027170 162012940 193549810 197634460 298054340 387099620 1952255927 2535502511 3904511854 4664550421 5071005022 7809023708 9329100842 9761279635 10142010044 12677512555 18658201684 19522559270 23322752105 25355025110 39045118540 46645504210 50710050220 93291008420 611056105151 1222112210302 2444224420604 3055280525755 6110561051510 12221122103020