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12312023121 = 321368002569
BaseRepresentation
bin10110111011101101…
…01001000001010001
31011210001020120121100
423131312221001101
5200203334214441
65353413215013
7614050320066
oct133566510121
934701216540
1012312023121
1152488a8222
122477331469
1312129b1ca8
1484b240c6d
154c0d56cb6
hex2ddda9051

12312023121 has 6 divisors (see below), whose sum is σ = 17784033410. Its totient is φ = 8208015408.

The previous prime is 12312023089. The next prime is 12312023131. The reversal of 12312023121 is 12132021321.

12312023121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11793960000 + 518063121 = 108600^2 + 22761^2 .

It is not a de Polignac number, because 12312023121 - 25 = 12312023089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12312023094 and 12312023103.

It is not an unprimeable number, because it can be changed into a prime (12312023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 684001276 + ... + 684001293.

Almost surely, 212312023121 is an apocalyptic number.

It is an amenable number.

12312023121 is a deficient number, since it is larger than the sum of its proper divisors (5472010289).

12312023121 is a wasteful number, since it uses less digits than its factorization.

12312023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368002575 (or 1368002572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312023121 its reverse (12132021321), we get a palindrome (24444044442).

The spelling of 12312023121 in words is "twelve billion, three hundred twelve million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 1368002569 4104007707 12312023121