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12120122002221 = 3231193225084443
BaseRepresentation
bin1011000001011110111110…
…0100010000101100101101
31120220200011010211001212200
42300113233210100230231
53042034002213032341
641435523541252113
72360435631125352
oct260275744205455
946820133731780
1012120122002221
113953129999002
121438b64404039
1369bbcbc522cc
142dc88d202629
15160413974db6
hexb05ef910b2d

12120122002221 has 24 divisors (see below), whose sum is σ = 18165214968576. Its totient is φ = 7778918315520.

The previous prime is 12120122002193. The next prime is 12120122002279. The reversal of 12120122002221 is 12220022102121.

It is a happy number.

12120122002221 is a `hidden beast` number, since 1 + 21 + 201 + 220 + 0 + 2 + 221 = 666.

12120122002221 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 12120122002221 - 214 = 12120121985837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120122002194 and 12120122002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120122000221) 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, 112488375 + ... + 112596068.

It is an arithmetic number, because the mean of its divisors is an integer number (756883957024).

Almost surely, 212120122002221 is an apocalyptic number.

It is an amenable number.

12120122002221 is a deficient number, since it is larger than the sum of its proper divisors (6045092966355).

12120122002221 is a wasteful number, since it uses less digits than its factorization.

12120122002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225084673 (or 225084670 counting only the distinct ones).

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

Adding to 12120122002221 its reverse (12220022102121), we get a palindrome (24340144104342).

The spelling of 12120122002221 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 193 279 579 1737 5983 17949 53847 225084443 675253329 2025759987 6977617733 20932853199 43441297499 62798559597 130323892497 390971677491 1346680222469 4040040667407 12120122002221