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12122131021 = 7211213157273
BaseRepresentation
bin10110100101000100…
…10000101001001101
31011021210221001121121
423102202100221031
5144311231143041
65322511200541
7606253261600
oct132242205115
934253831547
1012122131021
115160699500
122423816151
1311b25566c0
1482dd30337
154ae3477d1
hex2d2890a4d

12122131021 has 36 divisors (see below), whose sum is σ = 16692118716. Its totient is φ = 8719159680.

The previous prime is 12122131019. The next prime is 12122131057. The reversal of 12122131021 is 12013122121.

It can be written as a sum of positive squares in 2 ways, for example, as 2559246921 + 9562884100 = 50589^2 + 97790^2 .

It is not a de Polignac number, because 12122131021 - 21 = 12122131019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122130986 and 12122131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122131001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560 + ... + 155713.

Almost surely, 212122131021 is an apocalyptic number.

12122131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122131021 is a deficient number, since it is larger than the sum of its proper divisors (4569987695).

12122131021 is a wasteful number, since it uses less digits than its factorization.

12122131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157322 (or 157304 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12122131021 its reverse (12013122121), we get a palindrome (24135253142).

The spelling of 12122131021 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 157273 1100911 1730003 2044549 7706377 12110021 14311843 19030033 22490039 84770147 100182901 133210231 157430273 247390429 932471617 1102011911 1731733003 12122131021