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2222112120401 is a prime number
BaseRepresentation
bin100000010101100000001…
…101000001111001010001
321212102122210222122012202
4200111200031001321101
5242401341200323101
64420454010332545
7316354003243265
oct40254015017121
97772583878182
102222112120401
117874353a8358
122ba7b0a2a155
1313170ca00a54
147979d57a0a5
153cc0782b36b
hex20560341e51

2222112120401 has 2 divisors, whose sum is σ = 2222112120402. Its totient is φ = 2222112120400.

The previous prime is 2222112120377. The next prime is 2222112120413. The reversal of 2222112120401 is 1040212112222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1598365990225 + 623746130176 = 1264265^2 + 789776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222112120401 - 26 = 2222112120337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222112120601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111056060200 + 1111056060201.

It is an arithmetic number, because the mean of its divisors is an integer number (1111056060201).

Almost surely, 22222112120401 is an apocalyptic number.

It is an amenable number.

2222112120401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222112120401 is an equidigital number, since it uses as much as digits as its factorization.

2222112120401 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 20.

Adding to 2222112120401 its reverse (1040212112222), we get a palindrome (3262324232623).

The spelling of 2222112120401 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, four hundred one".