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212022120212120 = 2355300553005303
BaseRepresentation
bin110000001101010100111111…
…001010001110011010011000
31000210201010011002210100212102
4300031110333022032122120
5210242232300233241440
62030533341204302532
762442043535122421
oct6015247712163230
91023633132710772
10212022120212120
11616140924aa999
121b9433830a1a48
13913c7a56a007a
143a4dcd5316648
15197a2ade36b15
hexc0d53f28e698

212022120212120 has 16 divisors (see below), whose sum is σ = 477049770477360. Its totient is φ = 84808848084832.

The previous prime is 212022120212059. The next prime is 212022120212153. The reversal of 212022120212120 is 21212021220212.

It is a super-3 number, since 3×2120221202121203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212022120212092 and 212022120212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2650276502612 + ... + 2650276502691.

It is an arithmetic number, because the mean of its divisors is an integer number (29815610654835).

Almost surely, 2212022120212120 is an apocalyptic number.

212022120212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022120212120 is an abundant number, since it is smaller than the sum of its proper divisors (265027650265240).

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

212022120212120 is a wasteful number, since it uses less digits than its factorization.

212022120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300553005314 (or 5300553005310 counting only the distinct ones).

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

Adding to 212022120212120 its reverse (21212021220212), we get a palindrome (233234141432332).

The spelling of 212022120212120 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5300553005303 10601106010606 21202212021212 26502765026515 42404424042424 53005530053030 106011060106060 212022120212120