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12320413024401 = 328291651308541
BaseRepresentation
bin1011001101001001000111…
…0101111000000010010001
31121121211010202201012202100
42303102101311320002101
53103324201213240101
642111530345111013
72411056214540466
oct263222165700221
947554122635670
1012320413024401
113a2006aa614a9
12146b941488469
136b4a6b647a51
1430844dbdb66d
15165737732e86
hexb3491d78091

12320413024401 has 12 divisors (see below), whose sum is σ = 17817619168180. Its totient is φ = 8203700826720.

The previous prime is 12320413024379. The next prime is 12320413024411. The reversal of 12320413024401 is 10442031402321.

12320413024401 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 413 + 0 + 244 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10678837086801 + 1641575937600 = 3267849^2 + 1281240^2 .

It is not a de Polignac number, because 12320413024401 - 210 = 12320413023377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12320413024411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825646810 + ... + 825661731.

Almost surely, 212320413024401 is an apocalyptic number.

It is an amenable number.

12320413024401 is a deficient number, since it is larger than the sum of its proper divisors (5497206143779).

12320413024401 is a wasteful number, since it uses less digits than its factorization.

12320413024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651309376 (or 1651309373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12320413024401 its reverse (10442031402321), we get a palindrome (22762444426722).

The spelling of 12320413024401 in words is "twelve trillion, three hundred twenty billion, four hundred thirteen million, twenty-four thousand, four hundred one".

Divisors: 1 3 9 829 2487 7461 1651308541 4953925623 14861776869 1368934780489 4106804341467 12320413024401