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12221332323021 = 321357925813669
BaseRepresentation
bin1011000111011000000000…
…1010111111101011001101
31121021100101122220002010200
42301312000022333223031
53100213242033314041
641554222541524113
72400651002506053
oct261660012775315
947240348802120
1012221332323021
11399204653a028
1214546ab573639
136a860b42aab3
14303730cbc1d3
15162d890881b6
hexb1d802bfacd

12221332323021 has 6 divisors (see below), whose sum is σ = 17653035577710. Its totient is φ = 8147554882008.

The previous prime is 12221332323017. The next prime is 12221332323023. The reversal of 12221332323021 is 12032323312221.

12221332323021 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 332 + 323 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11603465580996 + 617866742025 = 3406386^2 + 786045^2 .

It is not a de Polignac number, because 12221332323021 - 22 = 12221332323017 is a prime.

It is a super-3 number, since 3×122213323230213 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221332323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 678962906826 + ... + 678962906843.

It is an arithmetic number, because the mean of its divisors is an integer number (2942172596285).

Almost surely, 212221332323021 is an apocalyptic number.

It is an amenable number.

12221332323021 is a deficient number, since it is larger than the sum of its proper divisors (5431703254689).

12221332323021 is a wasteful number, since it uses less digits than its factorization.

12221332323021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357925813675 (or 1357925813672 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12221332323021 its reverse (12032323312221), we get a palindrome (24253655635242).

The spelling of 12221332323021 in words is "twelve trillion, two hundred twenty-one billion, three hundred thirty-two million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 1357925813669 4073777441007 12221332323021