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221212212112 = 2417417941277
BaseRepresentation
bin1100111000000101000…
…1100111101110010000
3210010222122210201011001
43032001101213232100
512111020311241422
6245342401231344
721660562531003
oct3160121475620
9703878721131
10221212212112
11858a7588111
1236a57632554
1317b24ba5988
14a9c739553a
155b4a83e227
hex3381467b90

221212212112 has 20 divisors (see below), whose sum is σ = 428844894556. Its totient is φ = 110542561920.

The previous prime is 221212212103. The next prime is 221212212113. The reversal of 221212212112 is 211212212122.

221212212112 is digitally balanced in base 3, 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 2 ways, for example, as 72574204816 + 148638007296 = 269396^2 + 385536^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221212212112.

It is not an unprimeable number, because it can be changed into a prime (221212212113) 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 3 ways as a sum of consecutive naturals, for example, 3942783 + ... + 3998494.

Almost surely, 2221212212112 is an apocalyptic number.

It is an amenable number.

221212212112 is a deficient number, since it is larger than the sum of its proper divisors (207632682444).

221212212112 is a wasteful number, since it uses less digits than its factorization.

221212212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943026 (or 7943020 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

Adding to 221212212112 its reverse (211212212122), we get a palindrome (432424424234).

The spelling of 221212212112 in words is "two hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 1741 3482 6964 13928 27856 7941277 15882554 31765108 63530216 127060432 13825763257 27651526514 55303053028 110606106056 221212212112