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212222111121 = 323710112375101
BaseRepresentation
bin1100010110100101101…
…1000110110110010001
3202021210010100021000200
43011221123012312101
511434112330023441
6241254332205413
721222030116016
oct3055133066621
9667703307020
10212222111121
1182003938189
1235168909869
13170214b02a7
14a3b33d970d
1557c146a7b6
hex31696c6d91

212222111121 has 48 divisors (see below), whose sum is σ = 318264515088. Its totient is φ = 136157760000.

The previous prime is 212222111113. The next prime is 212222111141. The reversal of 212222111121 is 121111222212.

212222111121 is a `hidden beast` number, since 212 + 222 + 111 + 121 = 666.

212222111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15285860496 + 196936250625 = 123636^2 + 443775^2 .

It is not a de Polignac number, because 212222111121 - 23 = 212222111113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212222111094 and 212222111103.

It is not an unprimeable number, because it can be changed into a prime (212222111141) 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 47 ways as a sum of consecutive naturals, for example, 41601471 + ... + 41606571.

It is an arithmetic number, because the mean of its divisors is an integer number (6630510731).

Almost surely, 2212222111121 is an apocalyptic number.

It is an amenable number.

212222111121 is a deficient number, since it is larger than the sum of its proper divisors (106042403967).

212222111121 is a wasteful number, since it uses less digits than its factorization.

212222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6479 counting only the distinct ones).

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

Adding to 212222111121 its reverse (121111222212), we get a palindrome (333333333333).

The spelling of 212222111121 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 37 101 111 303 333 909 1237 3711 3737 5101 11133 11211 15303 33633 45769 45909 124937 137307 188737 374811 411921 515201 566211 1124433 1545603 1698633 4622669 4636809 6309937 13868007 18929811 19062437 41604021 56789433 57187311 171561933 233467669 637303637 700403007 1911910911 2101209021 5735732733 23580234569 70740703707 212222111121