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212120120020 = 22516069660029
BaseRepresentation
bin1100010110001101011…
…0000010101011010100
3202021112000102120112111
43011203112002223110
511433410222320040
6241240250200404
721216351161614
oct3054326025324
9667460376474
10212120120020
1181a61306816
123513a723104
1317006320423
14a3a3a4aa44
1557b7520dea
hex3163582ad4

212120120020 has 24 divisors (see below), whose sum is σ = 445480648200. Its totient is φ = 84842639232.

The previous prime is 212120119969. The next prime is 212120120033. The reversal of 212120120020 is 20021021212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15555577284 + 196564542736 = 124722^2 + 443356^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8635 + ... + 651394.

It is an arithmetic number, because the mean of its divisors is an integer number (18561693675).

Almost surely, 2212120120020 is an apocalyptic number.

212120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120120020 is an abundant number, since it is smaller than the sum of its proper divisors (233360528180).

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

212120120020 is a wasteful number, since it uses less digits than its factorization.

212120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676107 (or 676105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212120120020 its reverse (20021021212), we get a palindrome (232141141232).

The spelling of 212120120020 in words is "two hundred twelve billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 16069 32138 64276 80345 160690 321380 660029 1320058 2640116 3300145 6600290 13200580 10606006001 21212012002 42424024004 53030030005 106060060010 212120120020