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12230121011329 = 133754134697293
BaseRepresentation
bin1011000111111000110000…
…0001001011100010000001
31121022012002011100201000001
42301332030001023202001
53100334241434330304
642002235014000001
72401411541231044
oct261761401134201
947265064321001
1012230121011329
1139958465216a1
121456342946001
136a93ac193190
14303d26208c5b
15163200923da4
hexb1f8c04b881

12230121011329 has 16 divisors (see below), whose sum is σ = 13529371648912. Its totient is φ = 10982193539328.

The previous prime is 12230121011267. The next prime is 12230121011363. The reversal of 12230121011329 is 92311012103221.

It can be written as a sum of positive squares in 8 ways, for example, as 2855501771329 + 9374619240000 = 1689823^2 + 3061800^2 .

It is a cyclic number.

It is not a de Polignac number, because 12230121011329 - 225 = 12230087456897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12230121011297 and 12230121011306.

It is not an unprimeable number, because it can be changed into a prime (12230121021329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255007 + ... + 4952299.

It is an arithmetic number, because the mean of its divisors is an integer number (845585728057).

Almost surely, 212230121011329 is an apocalyptic number.

It is an amenable number.

12230121011329 is a deficient number, since it is larger than the sum of its proper divisors (1299250637583).

12230121011329 is a wasteful number, since it uses less digits than its factorization.

12230121011329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702756.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 12230121011329 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-one million, eleven thousand, three hundred twenty-nine".

Divisors: 1 13 37 481 5413 70369 200281 2603653 4697293 61064809 173799841 2259397933 25426447009 330543811117 940778539333 12230121011329