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122208273889 = 132268912
BaseRepresentation
bin111000111010000101…
…1100100010111100001
3102200102220102112210021
41301310023210113201
54000240304231024
6132050335233441
711554302121462
oct1616413442741
9380386375707
10122208273889
1147912425a69
121b827378881
13b6a7854a00
145cb4738d69
1532a3ca8de4
hex1c742e45e1

122208273889 has 9 divisors (see below), whose sum is σ = 132336957459. Its totient is φ = 112803442440.

The previous prime is 122208273827. The next prime is 122208273937. The reversal of 122208273889 is 988372802221.

The square root of 122208273889 is 349583.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18078147025 + 104130126864 = 134455^2 + 322692^2 .

It is not a de Polignac number, because 122208273889 - 223 = 122199885281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122208277889) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4531134 + ... + 4558024.

Almost surely, 2122208273889 is an apocalyptic number.

122208273889 is the 349583-rd square number.

122208273889 is the 174792-nd centered octagonal number.

It is an amenable number.

122208273889 is a deficient number, since it is larger than the sum of its proper divisors (10128683570).

122208273889 is an frugal number, since it uses more digits than its factorization.

122208273889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53808 (or 26904 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 122208273889 in words is "one hundred twenty-two billion, two hundred eight million, two hundred seventy-three thousand, eight hundred eighty-nine".

Divisors: 1 13 169 26891 349583 4544579 723125881 9400636453 122208273889