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22122120122029 is a prime number
BaseRepresentation
bin1010000011110101101010…
…00111001000111010101101
32220022212001120212022210101
411001322311013020322231
510344422100222401104
6115014432305111101
74442161521314104
oct501726507107255
986285046768711
1022122120122029
117059a360a5004
1225934b9328491
13c46151047135
14566a0585b03b
152856a90085a4
hex141eb51c8ead

22122120122029 has 2 divisors, whose sum is σ = 22122120122030. Its totient is φ = 22122120122028.

The previous prime is 22122120121957. The next prime is 22122120122083. The reversal of 22122120122029 is 92022102122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21475559393929 + 646560728100 = 4634173^2 + 804090^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122120122029 - 219 = 22122119597741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122120121988 and 22122120122006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122120122099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061060061014 + 11061060061015.

It is an arithmetic number, because the mean of its divisors is an integer number (11061060061015).

Almost surely, 222122120122029 is an apocalyptic number.

It is an amenable number.

22122120122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122120122029 is an equidigital number, since it uses as much as digits as its factorization.

22122120122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 22122120122029 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, twenty-nine".