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122220011281 is a prime number
BaseRepresentation
bin111000111010011100…
…0010101111100010001
3102200110201111212110111
41301310320111330101
54000301310330111
6132051435001321
711554503645334
oct1616470257421
9380421455414
10122220011281
1147919012495
121b82b299241
13b6aa104304
145cb611261b
1532a4d26a21
hex1c74e15f11

122220011281 has 2 divisors, whose sum is σ = 122220011282. Its totient is φ = 122220011280.

The previous prime is 122220011269. The next prime is 122220011357. The reversal of 122220011281 is 182110022221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66543361600 + 55676649681 = 257960^2 + 235959^2 .

It is a cyclic number.

It is not a de Polignac number, because 122220011281 - 27 = 122220011153 is a prime.

It is a super-2 number, since 2×1222200112812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122220011231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110005640 + 61110005641.

It is an arithmetic number, because the mean of its divisors is an integer number (61110005641).

Almost surely, 2122220011281 is an apocalyptic number.

It is an amenable number.

122220011281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220011281 is an equidigital number, since it uses as much as digits as its factorization.

122220011281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 122220011281 in words is "one hundred twenty-two billion, two hundred twenty million, eleven thousand, two hundred eighty-one".