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122004132049 is a prime number
BaseRepresentation
bin111000110100000000…
…0110101000011010001
3102122220200022001211101
41301220000311003101
53444331024211144
6132014203544401
711546243003662
oct1615000650321
9378820261741
10122004132049
11478181741a8
121b78ab2b101
13b67447a417
145c95599369
153290dd26d4
hex1c680350d1

122004132049 has 2 divisors, whose sum is σ = 122004132050. Its totient is φ = 122004132048.

The previous prime is 122004131969. The next prime is 122004132077. The reversal of 122004132049 is 940231400221.

It is an a-pointer prime, because the next prime (122004132077) can be obtained adding 122004132049 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106255137024 + 15748995025 = 325968^2 + 125495^2 .

It is a cyclic number.

It is not a de Polignac number, because 122004132049 - 217 = 122004000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122004132949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61002066024 + 61002066025.

It is an arithmetic number, because the mean of its divisors is an integer number (61002066025).

Almost surely, 2122004132049 is an apocalyptic number.

It is an amenable number.

122004132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122004132049 is an equidigital number, since it uses as much as digits as its factorization.

122004132049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 122004132049 in words is "one hundred twenty-two billion, four million, one hundred thirty-two thousand, forty-nine".