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20001212122221 = 32116711172699561
BaseRepresentation
bin1001000110000111001010…
…01001001100010001101101
32121211002121212021200202100
410203003211021030101231
510110144440300402341
6110312232514045313
74133016452625621
oct443034511142155
977732555250670
1020001212122221
1164115148a3440
1222b0451579839
13b2114c460a15
144d20c7225181
1524a4264b83b6
hex1230e524c46d

20001212122221 has 48 divisors (see below), whose sum is σ = 32016114232128. Its totient is φ = 11930327481600.

The previous prime is 20001212122201. The next prime is 20001212122223. The reversal of 20001212122221 is 12222121210002.

It is a happy number.

20001212122221 is a `hidden beast` number, since 200 + 0 + 121 + 2 + 122 + 221 = 666.

It is not a de Polignac number, because 20001212122221 - 213 = 20001212114029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20001212122194 and 20001212122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001212122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6059281 + ... + 8758841.

It is an arithmetic number, because the mean of its divisors is an integer number (667002379836).

Almost surely, 220001212122221 is an apocalyptic number.

It is an amenable number.

20001212122221 is a deficient number, since it is larger than the sum of its proper divisors (12014902109907).

20001212122221 is a wasteful number, since it uses less digits than its factorization.

20001212122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700762 (or 2700759 counting only the distinct ones).

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

Adding to 20001212122221 its reverse (12222121210002), we get a palindrome (32223333332223).

The spelling of 20001212122221 in words is "twenty trillion, one billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 67 99 201 603 737 1117 2211 3351 6633 10053 12287 36861 74839 110583 224517 673551 823229 2469687 2699561 7409061 8098683 24296049 29695171 89085513 180870587 267256539 542611761 1627835283 1989576457 3015409637 5968729371 9046228911 17906188113 27138686733 33169506007 99508518021 202032445679 298525554063 606097337037 1818292011111 2222356902469 6667070707407 20001212122221