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12201221111121 = 3273720849251059
BaseRepresentation
bin1011000110001101000101…
…1100110011110101010001
31121012102111002002122211200
42301203101130303311101
53044401100101023441
641541055200501413
72366336430152160
oct261432134636521
947172432078750
1012201221111121
113984566260949
12145081831a869
136a67549b5303
14302783d273d7
151625ad6a07b6
hexb18d1733d51

12201221111121 has 48 divisors (see below), whose sum is σ = 20687143152000. Its totient is φ = 6783338110464.

The previous prime is 12201221111089. The next prime is 12201221111129. The reversal of 12201221111121 is 12111112210221.

It is a happy number.

12201221111121 is a `hidden beast` number, since 12 + 201 + 221 + 111 + 121 = 666.

12201221111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12201221111121 - 25 = 12201221111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201221111094 and 12201221111103.

It is not an unprimeable number, because it can be changed into a prime (12201221111129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48473490 + ... + 48724548.

It is an arithmetic number, because the mean of its divisors is an integer number (430982149000).

Almost surely, 212201221111121 is an apocalyptic number.

It is an amenable number.

12201221111121 is a deficient number, since it is larger than the sum of its proper divisors (8485922040879).

12201221111121 is a wasteful number, since it uses less digits than its factorization.

12201221111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271958 (or 271955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12201221111121 its reverse (12111112210221), we get a palindrome (24312333321342).

The spelling of 12201221111121 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 20849 62547 145943 187641 251059 437829 753177 771413 1313487 1757413 2259531 2314239 5272239 5399891 6942717 9289183 15816717 16199673 27867549 48599019 65024281 83602647 195072843 585218529 5234329091 15702987273 36640303637 47108961819 109920910911 193670176367 329762732733 581010529101 1355691234569 1743031587303 4067073703707 12201221111121