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12412800041 = 127169357731
BaseRepresentation
bin10111000111101110…
…00100110000101001
31012001001212120112212
423203313010300221
5200410134100131
65411413214505
7616413026255
oct134367046051
935031776485
1012412800041
11529a77a434
1224a5031435
13122a8382c5
1485a795265
154c9b11a2b
hex2e3dc4c29

12412800041 has 8 divisors (see below), whose sum is σ = 12518145024. Its totient is φ = 12307574160.

The previous prime is 12412800031. The next prime is 12412800047. The reversal of 12412800041 is 14000821421.

12412800041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12412800041 - 26 = 12412799977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12412800047) 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 7 ways as a sum of consecutive naturals, for example, 186146 + ... + 243876.

It is an arithmetic number, because the mean of its divisors is an integer number (1564768128).

Almost surely, 212412800041 is an apocalyptic number.

It is an amenable number.

12412800041 is a deficient number, since it is larger than the sum of its proper divisors (105344983).

12412800041 is a wasteful number, since it uses less digits than its factorization.

12412800041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59551.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 12412800041 in words is "twelve billion, four hundred twelve million, eight hundred thousand, forty-one".

Divisors: 1 127 1693 57731 215011 7331837 97738583 12412800041