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12122131110121 = 137349253532117
BaseRepresentation
bin1011000001100110011101…
…0100011001100011101001
31120220212100011022022210101
42300121213110121203221
53042102111031010441
641440455151345401
72360536465222654
oct260314724314351
946825304268711
1012122131110121
113953a6aa9655a
121439425222261
1369c15c268156
142dc9ddd8c89b
151604d0036231
hexb06675198e9

12122131110121 has 8 divisors (see below), whose sum is σ = 12245601299400. Its totient is φ = 11999167986048.

The previous prime is 12122131110059. The next prime is 12122131110137. The reversal of 12122131110121 is 12101113122121.

It can be written as a sum of positive squares in 4 ways, for example, as 4128166540521 + 7993964569600 = 2031789^2 + 2827360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122131110121 - 221 = 12122129012969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122131113121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126718246 + ... + 126813871.

It is an arithmetic number, because the mean of its divisors is an integer number (1530700162425).

Almost surely, 212122131110121 is an apocalyptic number.

It is an amenable number.

12122131110121 is a deficient number, since it is larger than the sum of its proper divisors (123470189279).

12122131110121 is a wasteful number, since it uses less digits than its factorization.

12122131110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253532603.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 12122131110121 its reverse (12101113122121), we get a palindrome (24223244232242).

The spelling of 12122131110121 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 137 349 47813 253532117 34733900029 88482708833 12122131110121