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12000312121 = 721714406137
BaseRepresentation
bin10110010110100011…
…00011101100111001
31010222022201000111111
423023101203230321
5144034034441441
65302440200321
7603243653500
oct131321435471
933868630444
1012000312121
1150a8955126
1223aaa690a1
131193243905
1481ba9d837
154a37d3081
hex2cb463b39

12000312121 has 12 divisors (see below), whose sum is σ = 14780697588. Its totient is φ = 9680923392.

The previous prime is 12000312073. The next prime is 12000312167. The reversal of 12000312121 is 12121300021.

It can be written as a sum of positive squares in 2 ways, for example, as 4873575721 + 7126736400 = 69811^2 + 84420^2 .

It is not a de Polignac number, because 12000312121 - 215 = 12000279353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000312521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7202236 + ... + 7203901.

It is an arithmetic number, because the mean of its divisors is an integer number (1231724799).

Almost surely, 212000312121 is an apocalyptic number.

It is an amenable number.

12000312121 is a deficient number, since it is larger than the sum of its proper divisors (2780385467).

12000312121 is a wasteful number, since it uses less digits than its factorization.

12000312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406168 (or 14406161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12000312121 its reverse (12121300021), we get a palindrome (24121612142).

The spelling of 12000312121 in words is "twelve billion, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 833 14406137 100842959 244904329 705900713 1714330303 12000312121