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212201144012 = 22111317292832659
BaseRepresentation
bin1100010110100000101…
…1000111111011001100
3202021201122220000120002
43011220023013323030
511434041443102022
6241252302543432
721221353651304
oct3055013077314
9667648800502
10212201144012
1181aa30172a0
1235161897b78
131701a04b910
14a3b06dc604
1557be6c8092
hex31682c7ecc

212201144012 has 192 divisors, whose sum is σ = 479734617600. Its totient is φ = 80592261120.

The previous prime is 212201144003. The next prime is 212201144021. The reversal of 212201144012 is 210441102212.

212201144012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212201144003) and next prime (212201144021).

It is a super-2 number, since 2×2122011440122 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 79803539 + ... + 79806197.

It is an arithmetic number, because the mean of its divisors is an integer number (2498617800).

Almost surely, 2212201144012 is an apocalyptic number.

212201144012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212201144012 is an abundant number, since it is smaller than the sum of its proper divisors (267533473588).

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

212201144012 is a wasteful number, since it uses less digits than its factorization.

212201144012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3014 counting only the distinct ones).

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

Adding to 212201144012 its reverse (210441102212), we get a palindrome (422642246224).

The spelling of 212201144012 in words is "two hundred twelve billion, two hundred one million, one hundred forty-four thousand, twelve".