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220212122212121 = 13191521647263101
BaseRepresentation
bin110010000100100000100001…
…010100011101011100011001
31001212201001222102110102120212
4302010200201110131130121
5212330423411241241441
62100204015150500505
764245541450363634
oct6204404124353431
91055631872412525
10220212122212121
1164191489085a06
1220846702204735
1395b4bb6146360
143c54475cb4c1b
151a6d35170aeeb
hexc8482151d719

220212122212121 has 32 divisors (see below), whose sum is σ = 239220791341056. Its totient is φ = 201507658560000.

The previous prime is 220212122212111. The next prime is 220212122212337. The reversal of 220212122212121 is 121212221212022.

It is a de Polignac number, because none of the positive numbers 2k-220212122212121 is a prime.

It is a super-2 number, since 2×2202121222121212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220212122212111) 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 31 ways as a sum of consecutive naturals, for example, 836855471 + ... + 837118571.

It is an arithmetic number, because the mean of its divisors is an integer number (7475649729408).

Almost surely, 2220212122212121 is an apocalyptic number.

It is an amenable number.

220212122212121 is a deficient number, since it is larger than the sum of its proper divisors (19008669128935).

220212122212121 is a wasteful number, since it uses less digits than its factorization.

220212122212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264473.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 220212122212121 its reverse (121212221212022), we get a palindrome (341424343424143).

The spelling of 220212122212121 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 191 521 647 2483 6773 8411 99511 123577 263101 337087 1293643 1606501 3420313 4382131 50252291 64383617 137075621 170226347 653279783 836987021 1781983073 2212942511 26181443611 32513232277 88687926787 340358766943 422672019601 1152943048231 16939394016317 220212122212121