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212022102001221 = 32177428718654211
BaseRepresentation
bin110000001101010100111110…
…000100110000011001000101
31000210201010002211112011012200
4300031110332010300121011
5210242232231103014341
62030533335314105113
762442043224254421
oct6015247604603105
91023633084464180
10212022102001221
11616140831a1866
121b943378b7b199
13913c7a19950a5
143a4dcd2b35b81
15197a2ac53adb6
hexc0d53e130645

212022102001221 has 24 divisors (see below), whose sum is σ = 324273479647104. Its totient is φ = 133031677829760.

The previous prime is 212022102001201. The next prime is 212022102001309. The reversal of 212022102001221 is 122100201220212.

It is a happy number.

212022102001221 is a `hidden beast` number, since 2 + 1 + 20 + 221 + 0 + 200 + 1 + 221 = 666.

It is not a de Polignac number, because 212022102001221 - 214 = 212022101984837 is a prime.

It is a super-3 number, since 3×2120221020012213 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212022102001194 and 212022102001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022102001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038806 + ... + 20693016.

It is an arithmetic number, because the mean of its divisors is an integer number (13511394985296).

Almost surely, 2212022102001221 is an apocalyptic number.

It is an amenable number.

212022102001221 is a deficient number, since it is larger than the sum of its proper divisors (112251377645883).

212022102001221 is a wasteful number, since it uses less digits than its factorization.

212022102001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728521 (or 18728518 counting only the distinct ones).

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

Adding to 212022102001221 its reverse (122100201220212), we get a palindrome (334122303221433).

The spelling of 212022102001221 in words is "two hundred twelve trillion, twenty-two billion, one hundred two million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 74287 222861 668583 1262879 3788637 11365911 18654211 55962633 167887899 317121587 951364761 2854094283 1385765372557 4157296117671 12471888353013 23558011333469 70674034000407 212022102001221