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12132423121 = 7137313713331
BaseRepresentation
bin10110100110010011…
…00001010111010001
31011022112021221201111
423103021201113101
5144321400014441
65323515533321
7606436615660
oct132311412721
934275257644
1012132423121
115166489075
12242715a241
1311b471b1c0
1483144cdd7
154b01cc081
hex2d32615d1

12132423121 has 32 divisors (see below), whose sum is σ = 15248395008. Its totient is φ = 9397969920.

The previous prime is 12132423113. The next prime is 12132423143.

12132423121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12132423121 - 23 = 12132423113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132423092 and 12132423101.

It is not an unprimeable number, because it can be changed into a prime (12132423421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903426 + ... + 916756.

It is an arithmetic number, because the mean of its divisors is an integer number (476512344).

Almost surely, 212132423121 is an apocalyptic number.

It is an amenable number.

12132423121 is a deficient number, since it is larger than the sum of its proper divisors (3115971887).

12132423121 is a wasteful number, since it uses less digits than its factorization.

12132423121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13561.

The product of its digits is 576, while the sum is 22.

The spelling of 12132423121 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 13 73 91 137 511 949 959 1781 6643 10001 12467 13331 70007 93317 130013 173303 910091 973163 1213121 1826347 6812141 12651119 12784429 23742511 88557833 133323331 166197577 933263317 1733203303 12132423121