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12001222102221 = 3211421287944099
BaseRepresentation
bin1010111010100100000010…
…0101001000110011001101
31120111022020210200022212200
42232221000211020303031
53033112000324232341
641305141343552113
72346026320503522
oct256510045106315
946438223608780
1012001222102221
113907765007340
121419b00bbb639
136909309522b1
142d6c10023149
1515c2a5374db6
hexaea40948ccd

12001222102221 has 24 divisors (see below), whose sum is σ = 18955935991200. Its totient is φ = 7256191269600.

The previous prime is 12001222102193. The next prime is 12001222102229. The reversal of 12001222102221 is 12220122210021.

It is a happy number.

12001222102221 is a `hidden beast` number, since 120 + 0 + 1 + 222 + 102 + 221 = 666.

It is not a de Polignac number, because 12001222102221 - 211 = 12001222100173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001222102194 and 12001222102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001222102229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143930371 + ... + 144013728.

It is an arithmetic number, because the mean of its divisors is an integer number (789830666300).

Almost surely, 212001222102221 is an apocalyptic number.

12001222102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001222102221 is a deficient number, since it is larger than the sum of its proper divisors (6954713888979).

12001222102221 is a wasteful number, since it uses less digits than its factorization.

12001222102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287944537 (or 287944534 counting only the distinct ones).

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

Adding to 12001222102221 its reverse (12220122210021), we get a palindrome (24221344312242).

The spelling of 12001222102221 in words is "twelve trillion, one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 421 1263 3789 4631 13893 41679 287944099 863832297 2591496891 3167385089 9502155267 28506465801 121224465679 363673397037 1091020191111 1333469122469 4000407367407 12001222102221