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12404313223121 = 173719720688749
BaseRepresentation
bin1011010010000001101010…
…1011101110111111010001
31121220211200220201220120202
42310200122223232333101
53111213013141114441
642214243545344545
72420116305502031
oct264403253567721
947824626656522
1012404313223121
113a52704486606
121484057498155
136bc94c7ca051
1430c52c94b8c1
151679e831119b
hexb481aaeefd1

12404313223121 has 8 divisors (see below), whose sum is σ = 13488951105000. Its totient is φ = 11359116718848.

The previous prime is 12404313223061. The next prime is 12404313223147. The reversal of 12404313223121 is 12132231340421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7987321654225 + 4416991568896 = 2826185^2 + 2101664^2 .

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 12404313223121 - 226 = 12404246114257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12404313223171) 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, 9860343746 + ... + 9860345003.

It is an arithmetic number, because the mean of its divisors is an integer number (1686118888125).

Almost surely, 212404313223121 is an apocalyptic number.

It is an amenable number.

12404313223121 is a deficient number, since it is larger than the sum of its proper divisors (1084637881879).

12404313223121 is a wasteful number, since it uses less digits than its factorization.

12404313223121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19720688803.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12404313223121 its reverse (12132231340421), we get a palindrome (24536544563542).

The spelling of 12404313223121 in words is "twelve trillion, four hundred four billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 17 37 629 19720688749 335251708733 729665483713 12404313223121