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212221020000012 = 22336353694864729
BaseRepresentation
bin110000010000001110001110…
…100000101100111100001100
31000211102010112202211111002020
4300100032032200230330030
5210304012122110000022
62031204553553130140
762462314466331102
oct6020161640547414
91024363482744066
10212221020000012
116169047a221491
121b975a32259950
139155482a95b5a
143a597a3241c72
1519805509d235c
hexc1038e82cf0c

212221020000012 has 24 divisors (see below), whose sum is σ = 495182618002800. Its totient is φ = 70740305999616.

The previous prime is 212221019999969. The next prime is 212221020000023. The reversal of 212221020000012 is 210000020122212.

It is a super-2 number, since 2×2122210200000122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212221019999946 and 212221020000000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41192064 + ... + 46056792.

It is an arithmetic number, because the mean of its divisors is an integer number (20632609083450).

Almost surely, 2212221020000012 is an apocalyptic number.

It is an amenable number.

212221020000012 is an abundant number, since it is smaller than the sum of its proper divisors (282961598002788).

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

212221020000012 is a wasteful number, since it uses less digits than its factorization.

212221020000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500105 (or 8500103 counting only the distinct ones).

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

Adding to 212221020000012 its reverse (210000020122212), we get a palindrome (422221040122224).

The spelling of 212221020000012 in words is "two hundred twelve trillion, two hundred twenty-one billion, twenty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 3635369 4864729 7270738 9729458 10906107 14541476 14594187 19458916 21812214 29188374 43624428 58376748 17685085000001 35370170000002 53055255000003 70740340000004 106110510000006 212221020000012