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22121201012211 = 3372316972998729
BaseRepresentation
bin1010000011110011111100…
…10101000000110111110011
32220022202200112101201011000
411001321332111000313303
510344413204424342321
6115014201153253043
74442126661104460
oct501717625006763
986282615351130
1022121201012211
117059604300214
1225932a1564183
13c460357bc582
14566959768667
152856534a4826
hex141e7e540df3

22121201012211 has 64 divisors (see below), whose sum is σ = 39105358387200. Its totient is φ = 12083962226688.

The previous prime is 22121201012149. The next prime is 22121201012221. The reversal of 22121201012211 is 11221010212122.

22121201012211 is a `hidden beast` number, since 221 + 2 + 120 + 101 + 221 + 1 = 666.

It is not a de Polignac number, because 22121201012211 - 210 = 22121201011187 is a prime.

It is a super-2 number, since 2×221212010122112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22121201012221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5877495 + ... + 8876223.

It is an arithmetic number, because the mean of its divisors is an integer number (611021224800).

Almost surely, 222121201012211 is an apocalyptic number.

22121201012211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22121201012211 is a deficient number, since it is larger than the sum of its proper divisors (16984157374989).

22121201012211 is a wasteful number, since it uses less digits than its factorization.

22121201012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000465 (or 3000459 counting only the distinct ones).

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

Adding to 22121201012211 its reverse (11221010212122), we get a palindrome (33342211224333).

The spelling of 22121201012211 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred one million, twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 1697 4347 5091 11879 15273 35637 39031 45819 106911 117093 273217 320733 351279 819651 1053837 2458953 2998729 7376859 8996187 20991103 26988561 62973309 68970767 80965683 188919927 206912301 482795369 566759781 620736903 1448386107 1862210709 4345158321 5088843113 13035474963 15266529339 35621901791 45799588017 106865705373 117043391599 137398764051 320597116119 351130174797 819303741193 961791348357 1053390524391 2457911223579 3160171573173 7373733670737 22121201012211