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12008872461 = 319547385159
BaseRepresentation
bin10110010111100100…
…01101101000001101
31010222220210221002010
423023302031220031
5144043232404321
65303343451433
7603406505655
oct131362155015
933886727063
1012008872461
115102771693
1223b18b6b79
131194c500c1
1481cc8b365
154a4424676
hex2cbc8da0d

12008872461 has 16 divisors (see below), whose sum is σ = 16885414400. Its totient is φ = 7570665648.

The previous prime is 12008872459. The next prime is 12008872511. The reversal of 12008872461 is 16427880021.

It is a happy number.

12008872461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12008872461 - 21 = 12008872459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008872451) 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 15 ways as a sum of consecutive naturals, for example, 161401 + ... + 223758.

It is an arithmetic number, because the mean of its divisors is an integer number (1055338400).

Almost surely, 212008872461 is an apocalyptic number.

It is an amenable number.

12008872461 is a deficient number, since it is larger than the sum of its proper divisors (4876541939).

12008872461 is a wasteful number, since it uses less digits than its factorization.

12008872461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385728.

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 12008872461 in words is "twelve billion, eight million, eight hundred seventy-two thousand, four hundred sixty-one".

Divisors: 1 3 19 57 547 1641 10393 31179 385159 1155477 7318021 21954063 210681973 632045919 4002957487 12008872461