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12120002021213 is a prime number
BaseRepresentation
bin1011000001011110100001…
…1010100100011101011101
31120220122211210001101212122
42300113220122210131131
53042033231004134323
641435504013512325
72360432643243452
oct260275032443535
946818753041778
1012120002021213
11395307819a549
121438b301a26a5
1369bbb0133c28
142dc87b2cd829
15160408174ec8
hexb05e86a475d

12120002021213 has 2 divisors, whose sum is σ = 12120002021214. Its totient is φ = 12120002021212.

The previous prime is 12120002021209. The next prime is 12120002021243. The reversal of 12120002021213 is 31212020002121.

12120002021213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11848314011044 + 271688010169 = 3442138^2 + 521237^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120002021213 - 22 = 12120002021209 is a prime.

It is a super-5 number, since 5×121200020212135 (a number of 67 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120002021191 and 12120002021200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120002021243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060001010606 + 6060001010607.

It is an arithmetic number, because the mean of its divisors is an integer number (6060001010607).

Almost surely, 212120002021213 is an apocalyptic number.

It is an amenable number.

12120002021213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120002021213 is an equidigital number, since it uses as much as digits as its factorization.

12120002021213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12120002021213 its reverse (31212020002121), we get a palindrome (43332022023334).

The spelling of 12120002021213 in words is "twelve trillion, one hundred twenty billion, two million, twenty-one thousand, two hundred thirteen".