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21221220012 = 22341733491693
BaseRepresentation
bin10011110000111000…
…100001111010101100
32000202221110200011120
4103300320201322230
5321430113020022
613425432220540
71350611252046
oct236070417254
960687420146
1021221220012
118aaa909763
124142b3a750
1320026bb925
14105457aa96
15843098d5c
hex4f0e21eac

21221220012 has 96 divisors (see below), whose sum is σ = 51596529600. Its totient is φ = 6783160320.

The previous prime is 21221220011. The next prime is 21221220017. The reversal of 21221220012 is 21002212212.

It is a junction number, because it is equal to n+sod(n) for n = 21221219973 and 21221220000.

It is not an unprimeable number, because it can be changed into a prime (21221220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12533838 + ... + 12535530.

It is an arithmetic number, because the mean of its divisors is an integer number (537463850).

Almost surely, 221221220012 is an apocalyptic number.

It is an amenable number.

21221220012 is an abundant number, since it is smaller than the sum of its proper divisors (30375309588).

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

21221220012 is a wasteful number, since it uses less digits than its factorization.

21221220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

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

Adding to 21221220012 its reverse (21002212212), we get a palindrome (42223432224).

It can be divided in two parts, 212212200 and 12, that added together give a palindrome (212212212).

The spelling of 21221220012 in words is "twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 41 73 82 123 146 164 219 246 292 349 438 492 698 876 1047 1396 1693 2094 2993 3386 4188 5079 5986 6772 8979 10158 11972 14309 17958 20316 25477 28618 35916 42927 50954 57236 69413 76431 85854 101908 123589 138826 152862 171708 208239 247178 277652 305724 370767 416478 494356 590857 741534 832956 1044557 1181714 1483068 1772571 2089114 2363428 3133671 3545142 4178228 5067149 6267342 7090284 10134298 12534684 15201447 20268596 24225137 30402894 43132561 48450274 60805788 72675411 86265122 96900548 129397683 145350822 172530244 258795366 290701644 517590732 1768435001 3536870002 5305305003 7073740004 10610610006 21221220012