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12004010024129 is a prime number
BaseRepresentation
bin1010111010101110011011…
…0000001101110011000001
31120111120110002122102202122
42232223212300031303001
53033133203031233004
641310322134454025
72346155362445654
oct256534660156301
946446402572678
1012004010024129
113908965795332
12141a55a804315
13690c86410b26
142d6dd63c189b
1515c3b9ec5cbe
hexaeae6c0dcc1

12004010024129 has 2 divisors, whose sum is σ = 12004010024130. Its totient is φ = 12004010024128.

The previous prime is 12004010024119. The next prime is 12004010024137. The reversal of 12004010024129 is 92142001040021.

12004010024129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11990291290000 + 13718734129 = 3462700^2 + 117127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12004010024129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12004010024098 and 12004010024107.

It is not a weakly prime, because it can be changed into another prime (12004010024119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002005012064 + 6002005012065.

It is an arithmetic number, because the mean of its divisors is an integer number (6002005012065).

Almost surely, 212004010024129 is an apocalyptic number.

It is an amenable number.

12004010024129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12004010024129 is an equidigital number, since it uses as much as digits as its factorization.

12004010024129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12004010024129 in words is "twelve trillion, four billion, ten million, twenty-four thousand, one hundred twenty-nine".