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12123123103231 = 731373869339023
BaseRepresentation
bin1011000001101010001001…
…1100100011010111111111
31120220221220021220210111221
42300122202130203113333
53042111124003300411
641441141425254211
72360603202065110
oct260324234432777
946827807823457
1012123123103231
113954429a40678
121439661494367
1369c289930a1a
142dca95a14207
1516053c185071
hexb06a27235ff

12123123103231 has 32 divisors (see below), whose sum is σ = 14689228013568. Its totient is φ = 9783758171520.

The previous prime is 12123123103229. The next prime is 12123123103237. The reversal of 12123123103231 is 13230132132121.

It is a cyclic number.

It is not a de Polignac number, because 12123123103231 - 21 = 12123123103229 is a prime.

It is a super-3 number, since 3×121231231032313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12123123103196 and 12123123103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123123103237) 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, 310646586 + ... + 310685608.

It is an arithmetic number, because the mean of its divisors is an integer number (459038375424).

Almost surely, 212123123103231 is an apocalyptic number.

12123123103231 is a deficient number, since it is larger than the sum of its proper divisors (2566104910337).

12123123103231 is a wasteful number, since it uses less digits than its factorization.

12123123103231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77791.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12123123103231 its reverse (13230132132121), we get a palindrome (25353255235352).

The spelling of 12123123103231 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty-three million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 7 31 37 217 259 1147 8029 38693 39023 270851 273161 1199483 1209713 1431641 1443851 8396381 8467991 10021487 10106957 44380871 44759381 310666097 313315667 1509916939 10569418573 46807425109 55866926743 327651975763 391068487201 1731874729033 12123123103231