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12220011021133 is a prime number
BaseRepresentation
bin1011000111010011000101…
…1010101000001101001101
31121021012222120121222200201
42301310301122220031031
53100203040310134013
641553443501453501
72400603156565006
oct261646132501515
947235876558621
1012220011021133
1139915287123a3
1214543a0b71291
136a845a774c66
143036476141ad
15162d0d08b3dd
hexb1d316a834d

12220011021133 has 2 divisors, whose sum is σ = 12220011021134. Its totient is φ = 12220011021132.

The previous prime is 12220011021109. The next prime is 12220011021157. The reversal of 12220011021133 is 33112011002221.

It is a balanced prime because it is at equal distance from previous prime (12220011021109) and next prime (12220011021157).

It can be written as a sum of positive squares in only one way, i.e., 12193351642404 + 26659378729 = 3491898^2 + 163277^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220011021133 - 233 = 12211421086541 is a prime.

It is a super-2 number, since 2×122200110211332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12220011021133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220011021103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110005510566 + 6110005510567.

It is an arithmetic number, because the mean of its divisors is an integer number (6110005510567).

Almost surely, 212220011021133 is an apocalyptic number.

It is an amenable number.

12220011021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220011021133 is an equidigital number, since it uses as much as digits as its factorization.

12220011021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12220011021133 its reverse (33112011002221), we get a palindrome (45332022023354).

The spelling of 12220011021133 in words is "twelve trillion, two hundred twenty billion, eleven million, twenty-one thousand, one hundred thirty-three".