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12012021122211 = 331165361936471
BaseRepresentation
bin1010111011001100010001…
…0000001000010010100011
31120112100010101221101101000
42232303010100020102203
53033301104401402321
641314125112243043
72346561036611025
oct256630420102243
946470111841330
1012012021122211
1139112a6852950
1214200156a0483
1369196203b556
142d7556338015
1515c6d8464826
hexaecc44084a3

12012021122211 has 32 divisors (see below), whose sum is σ = 19443097290240. Its totient is φ = 7268864119200.

The previous prime is 12012021122191. The next prime is 12012021122263. The reversal of 12012021122211 is 11222112021021.

12012021122211 is a `hidden beast` number, since 1 + 201 + 20 + 211 + 22 + 211 = 666.

It is not a de Polignac number, because 12012021122211 - 26 = 12012021122147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12012021122291) 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, 30774295 + ... + 31162176.

It is an arithmetic number, because the mean of its divisors is an integer number (607596790320).

Almost surely, 212012021122211 is an apocalyptic number.

12012021122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12012021122211 is a deficient number, since it is larger than the sum of its proper divisors (7431076168029).

12012021122211 is a wasteful number, since it uses less digits than its factorization.

12012021122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61937144 (or 61937138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012021122211 its reverse (11222112021021), we get a palindrome (23234133143232).

The spelling of 12012021122211 in words is "twelve trillion, twelve billion, twenty-one million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 653 1959 5877 7183 17631 21549 64647 193941 61936471 185809413 557428239 681301181 1672284717 2043903543 6131710629 18395131887 40444515563 121333546689 364000640067 444889671193 1092001920201 1334669013579 4004007040737 12012021122211