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12312112321 = 97137926489
BaseRepresentation
bin10110111011101101…
…11110110011000001
31011210001102002222001
423131312332303001
5200203400043241
65353415144001
7614051141125
oct133566766301
934701362861
1012312112321
115248959243
122477375001
131212a13782
1484b265585
154c0d73431
hex2dddbecc1

12312112321 has 8 divisors (see below), whose sum is σ = 12529850760. Its totient is φ = 12096227328.

The previous prime is 12312112301. The next prime is 12312112363. The reversal of 12312112321 is 12321121321.

It can be written as a sum of positive squares in 4 ways, for example, as 2885838400 + 9426273921 = 53720^2 + 97089^2 .

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 12312112321 - 29 = 12312111809 is a prime.

It is a super-3 number, since 3×123121123213 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12312112301) 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, 449956 + ... + 476533.

It is an arithmetic number, because the mean of its divisors is an integer number (1566231345).

Almost surely, 212312112321 is an apocalyptic number.

It is an amenable number.

12312112321 is a deficient number, since it is larger than the sum of its proper divisors (217738439).

12312112321 is an equidigital number, since it uses as much as digits as its factorization.

12312112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926723.

The product of its digits is 144, while the sum is 19.

Adding to 12312112321 its reverse (12321121321), we get a palindrome (24633233642).

The spelling of 12312112321 in words is "twelve billion, three hundred twelve million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 97 137 13289 926489 89869433 126928993 12312112321