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212000221112020 = 225112199174381823
BaseRepresentation
bin110000001101000000100101…
…110111110010011011010100
31000210122000121220202211000221
4300031000211313302123110
5210241402423101041040
62030515320154444124
762440340052624505
oct6015004567623324
91023560556684027
10212000221112020
1161605874a8a960
121b93b091133644
13913a6c5718383
143a4cc18b1cbac
15197992b5d974a
hexc0d025df26d4

212000221112020 has 48 divisors (see below), whose sum is σ = 485675553097728. Its totient is φ = 77090621356160.

The previous prime is 212000221111969. The next prime is 212000221112021. The reversal of 212000221112020 is 20211122000212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212000221111985 and 212000221112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000221112021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46190829 + ... + 50572651.

It is an arithmetic number, because the mean of its divisors is an integer number (10118240689536).

Almost surely, 2212000221112020 is an apocalyptic number.

212000221112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000221112020 is an abundant number, since it is smaller than the sum of its proper divisors (273675331985708).

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

212000221112020 is a wasteful number, since it uses less digits than its factorization.

212000221112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601760 (or 4601758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212000221112020 its reverse (20211122000212), we get a palindrome (232211343112232).

The spelling of 212000221112020 in words is "two hundred twelve trillion, two hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 219917 439834 879668 1099585 2199170 2419087 4381823 4398340 4838174 8763646 9676348 12095435 17527292 21909115 24190870 43818230 48200053 48381740 87636460 96400106 192800212 241000265 482000530 964001060 963637368691 1927274737382 3854549474764 4818186843455 9636373686910 10600011055601 19272747373820 21200022111202 42400044222404 53000055278005 106000110556010 212000221112020