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12220122010181 is a prime number
BaseRepresentation
bin1011000111010011100000…
…0010000001001001000101
31121021020021022110211001012
42301310320002001021011
53100203302213311211
641553502504412005
72400606005146151
oct261647002011105
947236238424035
1012220122010181
11399158532a088
121454412177005
136a8477765557
14303658266061
15162d17bb1d8b
hexb1d38081245

12220122010181 has 2 divisors, whose sum is σ = 12220122010182. Its totient is φ = 12220122010180.

The previous prime is 12220122010163. The next prime is 12220122010249. The reversal of 12220122010181 is 18101022102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7498232124100 + 4721889886081 = 2738290^2 + 2172991^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220122010181 - 238 = 11945244103237 is a prime.

It is a super-2 number, since 2×122201220101812 (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 (12220122012181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110061005090 + 6110061005091.

It is an arithmetic number, because the mean of its divisors is an integer number (6110061005091).

Almost surely, 212220122010181 is an apocalyptic number.

It is an amenable number.

12220122010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220122010181 is an equidigital number, since it uses as much as digits as its factorization.

12220122010181 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 12220122010181 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, ten thousand, one hundred eighty-one".