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12220121200181 is a prime number
BaseRepresentation
bin1011000111010011011111…
…1110111011011000110101
31121021020021020221122221012
42301310313332323120311
53100203302011401211
641553502435202005
72400605665233506
oct261646776733065
947236236848835
1012220121200181
113991584926564
121454411a46305
136a847754096b
143036580d4bad
15162d17aa1d8b
hexb1d37fbb635

12220121200181 has 2 divisors, whose sum is σ = 12220121200182. Its totient is φ = 12220121200180.

The previous prime is 12220121200087. The next prime is 12220121200193. The reversal of 12220121200181 is 18100212102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8162277580900 + 4057843619281 = 2856970^2 + 2014409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220121200181 is a prime.

It is a super-2 number, since 2×122201212001812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220121200681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110060600090 + 6110060600091.

It is an arithmetic number, because the mean of its divisors is an integer number (6110060600091).

Almost surely, 212220121200181 is an apocalyptic number.

It is an amenable number.

12220121200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220121200181 is an equidigital number, since it uses as much as digits as its factorization.

12220121200181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 12220121200181 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, two hundred thousand, one hundred eighty-one".