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12122112100221 = 341345111125991
BaseRepresentation
bin1011000001100110011000…
…1011111000011101111101
31120220212021211112112010000
42300121212023320131331
53042102041144201341
641440453232104513
72360536144516344
oct260314613703575
946825254475100
1012122112100221
113953a602920a2
12143941a995139
1369c1583405a6
142dc9db640b5b
151604cd52d8b6
hexb06662f877d

12122112100221 has 20 divisors (see below), whose sum is σ = 18109688170464. Its totient is φ = 8080806537000.

The previous prime is 12122112100213. The next prime is 12122112100223. The reversal of 12122112100221 is 12200121122121.

12122112100221 is a `hidden beast` number, since 1 + 21 + 2 + 211 + 210 + 0 + 221 = 666.

It is not a de Polignac number, because 12122112100221 - 23 = 12122112100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122112100194 and 12122112100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122112100223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4473465 + ... + 6652526.

Almost surely, 212122112100221 is an apocalyptic number.

It is an amenable number.

12122112100221 is a deficient number, since it is larger than the sum of its proper divisors (5987576070243).

12122112100221 is a wasteful number, since it uses less digits than its factorization.

12122112100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139454 (or 11139445 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122112100221 its reverse (12200121122121), we get a palindrome (24322233222342).

The spelling of 12122112100221 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 13451 40353 121059 363177 1089531 11125991 33377973 100133919 300401757 901205271 149655704941 448967114823 1346901344469 4040704033407 12122112100221