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12202122202101 = 3213560031862251
BaseRepresentation
bin1011000110010000011100…
…1010001100101111110101
31121012111210212122211021200
42301210013022030233311
53044404421240431401
641541324430203113
72366400651253446
oct261440712145765
947174725584250
1012202122202101
113984988968937
121450a2a053499
136a68695a1440
1430282b8892cd
15162612845686
hexb190728cbf5

12202122202101 has 24 divisors (see below), whose sum is σ = 18981428103456. Its totient is φ = 7508860164000.

The previous prime is 12202122202033. The next prime is 12202122202121. The reversal of 12202122202101 is 10120222120221.

It is a happy number.

12202122202101 is a `hidden beast` number, since 1 + 2 + 20 + 212 + 220 + 210 + 1 = 666.

12202122202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12202122202101 - 233 = 12193532267509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202122202121) 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, 5621226 + ... + 7483476.

It is an arithmetic number, because the mean of its divisors is an integer number (790892837644).

Almost surely, 212202122202101 is an apocalyptic number.

It is an amenable number.

12202122202101 is a deficient number, since it is larger than the sum of its proper divisors (6779305901355).

12202122202101 is a wasteful number, since it uses less digits than its factorization.

12202122202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918273 (or 1918270 counting only the distinct ones).

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

Adding to 12202122202101 its reverse (10120222120221), we get a palindrome (22322344322322).

The spelling of 12202122202101 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 13 39 117 56003 168009 504027 728039 1862251 2184117 5586753 6552351 16760259 24209263 72627789 217883367 104291642753 312874928259 938624784777 1355791355789 4067374067367 12202122202101