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12220011211081 is a prime number
BaseRepresentation
bin1011000111010011000101…
…1011010110100101001001
31121021012222120222122020211
42301310301123112211021
53100203040332223311
641553443505521121
72400603161315542
oct261646133264511
947235876878224
1012220011211081
113991528832083
1214543a10431a1
136a845a81055b
143036476634c9
15162d0d0c7821
hexb1d316d6949

12220011211081 has 2 divisors, whose sum is σ = 12220011211082. Its totient is φ = 12220011211080.

The previous prime is 12220011211043. The next prime is 12220011211091. The reversal of 12220011211081 is 18011211002221.

It is a happy number.

12220011211081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11639976651081 + 580034560000 = 3411741^2 + 761600^2 .

It is an emirp because it is prime and its reverse (18011211002221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12220011211081 - 211 = 12220011209033 is a prime.

It is a super-3 number, since 3×122200112110813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12220011211021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110005605540 + 6110005605541.

It is an arithmetic number, because the mean of its divisors is an integer number (6110005605541).

Almost surely, 212220011211081 is an apocalyptic number.

It is an amenable number.

12220011211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220011211081 is an equidigital number, since it uses as much as digits as its factorization.

12220011211081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 12220011211081 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, eighty-one".