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122838961129 is a prime number
BaseRepresentation
bin111001001100111000…
…1011100101111101001
3102202001212011210000221
41302121301130233221
54003033233224004
6132233105130041
711606030641003
oct1623161345751
9382055153027
10122838961129
1148106433695
121b982629921
13b778406321
145d343cd373
1532de339354
hex1c99c5cbe9

122838961129 has 2 divisors, whose sum is σ = 122838961130. Its totient is φ = 122838961128.

The previous prime is 122838961117. The next prime is 122838961187. The reversal of 122838961129 is 921169838221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114939306729 + 7899654400 = 339027^2 + 88880^2 .

It is a cyclic number.

It is not a de Polignac number, because 122838961129 - 211 = 122838959081 is a prime.

It is not a weakly prime, because it can be changed into another prime (122838941129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61419480564 + 61419480565.

It is an arithmetic number, because the mean of its divisors is an integer number (61419480565).

Almost surely, 2122838961129 is an apocalyptic number.

It is an amenable number.

122838961129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122838961129 is an equidigital number, since it uses as much as digits as its factorization.

122838961129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 52.

It can be divided in two parts, 12283896 and 1129, that added together give a square (12285025 = 35052).

The spelling of 122838961129 in words is "one hundred twenty-two billion, eight hundred thirty-eight million, nine hundred sixty-one thousand, one hundred twenty-nine".