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12221011000121 = 7118323917214649
BaseRepresentation
bin1011000111010110110100…
…0001001111101100111001
31121021022120021021011222112
42301311231001033230321
53100212112304000441
641554131022502105
72400640021350440
oct261655501175471
947238507234875
1012221011000121
1139919a1121410
12145461ba34935
136a85899a56c1
14303700357d57
15162d6ac664eb
hexb1d6d04fb39

12221011000121 has 64 divisors (see below), whose sum is σ = 15497008128000. Its totient is φ = 9361309977600.

The previous prime is 12221011000097. The next prime is 12221011000123. The reversal of 12221011000121 is 12100011012221.

It is a de Polignac number, because none of the positive numbers 2k-12221011000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221011000096 and 12221011000105.

It is not an unprimeable number, because it can be changed into a prime (12221011000123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2628737405 + ... + 2628742053.

It is an arithmetic number, because the mean of its divisors is an integer number (242140752000).

Almost surely, 212221011000121 is an apocalyptic number.

12221011000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221011000121 is a deficient number, since it is larger than the sum of its proper divisors (3275997127879).

12221011000121 is a wasteful number, since it uses less digits than its factorization.

12221011000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12221011000121 its reverse (12100011012221), we get a palindrome (24321022012342).

It can be divided in two parts, 1222101 and 1000121, that added together give a palindrome (2222222).

The spelling of 12221011000121 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 77 83 239 581 913 1673 1721 2629 4649 6391 12047 18403 18931 19837 32543 51139 132517 138859 142843 218207 357973 385867 411319 999901 1111111 1527449 1571273 2701069 2879233 4244537 4524509 7777777 8000929 10998911 12222221 29711759 31671563 34139477 56006503 85555547 88010219 92222213 238976339 375534247 616071533 645555491 664077107 1014444343 1912222031 2628739729 4648539749 7101110401 7304848177 13385554217 21034442341 51133937239 147241096387 158714428573 1111001000011 1745858714303 12221011000121