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212112212121220 = 22515121370136897
BaseRepresentation
bin110000001110101000111001…
…000011100101011010000100
31000211000201200202121112120111
4300032220321003211122010
5210300221302300334340
62031043001030442404
762451413231532505
oct6016507103453204
91024021622545514
10212112212121220
1161649313a96714
121b958926803404
139148132562218
143a544004dabac
15197c7d33baaea
hexc0ea390e5684

212112212121220 has 24 divisors (see below), whose sum is σ = 445438597555224. Its totient is φ = 84844322543616.

The previous prime is 212112212121209. The next prime is 212112212121239. The reversal of 212112212121220 is 22121212211212.

It can be written as a sum of positive squares in 4 ways, for example, as 47756171221056 + 164356040900164 = 6910584^2 + 12820142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212112212121191 and 212112212121200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32044189 + ... + 38092708.

It is an arithmetic number, because the mean of its divisors is an integer number (18559941564801).

Almost surely, 2212112212121220 is an apocalyptic number.

212112212121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112212121220 is an abundant number, since it is smaller than the sum of its proper divisors (233326385434004).

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

212112212121220 is a wasteful number, since it uses less digits than its factorization.

212112212121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70288119 (or 70288117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212112212121220 its reverse (22121212211212), we get a palindrome (234233424332432).

The spelling of 212112212121220 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 151213 302426 604852 756065 1512130 3024260 70136897 140273794 280547588 350684485 701368970 1402737940 10605610606061 21211221212122 42422442424244 53028053030305 106056106060610 212112212121220