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121143222401 is a prime number
BaseRepresentation
bin111000011010010110…
…0101110000010000001
3102120200200100022210212
41300310230232002001
53441100131104101
6131352531403505
711516020254215
oct1606454560201
9376620308725
10121143222401
1147416211023
121b58a753595
13b567cbc526
145c130d6945
1532405281bb
hex1c34b2e081

121143222401 has 2 divisors, whose sum is σ = 121143222402. Its totient is φ = 121143222400.

The previous prime is 121143222391. The next prime is 121143222457. The reversal of 121143222401 is 104222341121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118181250625 + 2961971776 = 343775^2 + 54424^2 .

It is a cyclic number.

It is not a de Polignac number, because 121143222401 - 222 = 121139028097 is a prime.

It is a super-3 number, since 3×1211432224013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121143222481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60571611200 + 60571611201.

It is an arithmetic number, because the mean of its divisors is an integer number (60571611201).

Almost surely, 2121143222401 is an apocalyptic number.

It is an amenable number.

121143222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

121143222401 is an equidigital number, since it uses as much as digits as its factorization.

121143222401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 121143222401 its reverse (104222341121), we get a palindrome (225365563522).

The spelling of 121143222401 in words is "one hundred twenty-one billion, one hundred forty-three million, two hundred twenty-two thousand, four hundred one".