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212122221012 = 22341350361401
BaseRepresentation
bin1100010110001101111…
…0000011100111010100
3202021112011101022120000
43011203132003213110
511433411242033022
6241240403211300
721216405062142
oct3054336034724
9667464338500
10212122221012
1181a62511279
123513b376b30
13170068a7810
14a3a4036592
1557b77d86ac
hex31637839d4

212122221012 has 60 divisors (see below), whose sum is σ = 597185504916. Its totient is φ = 65268374400.

The previous prime is 212122221007. The next prime is 212122221023. The reversal of 212122221012 is 210122221212.

It is a happy number.

212122221012 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 2 ways, for example, as 14884976016 + 197237244996 = 122004^2 + 444114^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 25176489 + ... + 25184912.

Almost surely, 2212122221012 is an apocalyptic number.

It is an amenable number.

212122221012 is an abundant number, since it is smaller than the sum of its proper divisors (385063283904).

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

212122221012 is a wasteful number, since it uses less digits than its factorization.

212122221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50361430 (or 50361419 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122221012 its reverse (210122221212), we get a palindrome (422244442224).

The spelling of 212122221012 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 50361401 100722802 151084203 201445604 302168406 453252609 604336812 654698213 906505218 1309396426 1359757827 1813010436 1964094639 2618792852 2719515654 3928189278 4079273481 5439031308 5892283917 7856378556 8158546962 11784567834 16317093924 17676851751 23569135668 35353703502 53030555253 70707407004 106061110506 212122221012