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212221122212 = 2211219314167271
BaseRepresentation
bin1100010110100101011…
…1010101011010100100
3202021210001111000111102
43011221113111122210
511434112101402322
6241254255055232
721222015526631
oct3055127253244
9667701430442
10212221122212
1182003322200
1235168511518
1317021225138
14a3b321d188
1557c1322792
hex31695d56a4

212221122212 has 288 divisors, whose sum is σ = 462867578880. Its totient is φ = 84680640000.

The previous prime is 212221122209. The next prime is 212221122227.

212221122212 is nontrivially palindromic in base 10.

212221122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 783103637 + ... + 783103907.

Almost surely, 2212221122212 is an apocalyptic number.

212221122212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212221122212 is an abundant number, since it is smaller than the sum of its proper divisors (250646456668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212221122212 is a wasteful number, since it uses less digits than its factorization.

212221122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

It can be divided in two parts, 212221 and 122212, that added together give a palindrome (334433).

The spelling of 212221122212 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twelve".