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122221221077 is a prime number
BaseRepresentation
bin111000111010011110…
…0111101010011010101
3102200110210210022222202
41301310330331103111
54000302113033302
6132051520534245
711554520144414
oct1616474752325
9380423708882
10122221221077
114791976941a
121b82b781385
13b6aa438b77
145cb634947b
1532a4eb5202
hex1c74f3d4d5

122221221077 has 2 divisors, whose sum is σ = 122221221078. Its totient is φ = 122221221076.

The previous prime is 122221221061. The next prime is 122221221137. The reversal of 122221221077 is 770122122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101321892721 + 20899328356 = 318311^2 + 144566^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221221077 - 24 = 122221221061 is a prime.

It is a super-3 number, since 3×1222212210773 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221221007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110610538 + 61110610539.

It is an arithmetic number, because the mean of its divisors is an integer number (61110610539).

Almost surely, 2122221221077 is an apocalyptic number.

It is an amenable number.

122221221077 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221221077 is an equidigital number, since it uses as much as digits as its factorization.

122221221077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 29.

Adding to 122221221077 its reverse (770122122221), we get a palindrome (892343343298).

The spelling of 122221221077 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, seventy-seven".