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121212136753 is a prime number
BaseRepresentation
bin111000011100011001…
…1100110110100110001
3102120212111000112112021
41300320303212310301
53441220301334003
6131403432431441
711520515106541
oct1607063466461
9376774015467
10121212136753
1147451100434
121b5a9848581
13b57936ab56
145c1c315321
1532465dc2bd
hex1c38ce6d31

121212136753 has 2 divisors, whose sum is σ = 121212136754. Its totient is φ = 121212136752.

The previous prime is 121212136681. The next prime is 121212136807. The reversal of 121212136753 is 357631212121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68527197729 + 52684939024 = 261777^2 + 229532^2 .

It is an emirp because it is prime and its reverse (357631212121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121212136753 - 213 = 121212128561 is a prime.

It is not a weakly prime, because it can be changed into another prime (121212136153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606068376 + 60606068377.

It is an arithmetic number, because the mean of its divisors is an integer number (60606068377).

Almost surely, 2121212136753 is an apocalyptic number.

It is an amenable number.

121212136753 is a deficient number, since it is larger than the sum of its proper divisors (1).

121212136753 is an equidigital number, since it uses as much as digits as its factorization.

121212136753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 34.

Adding to 121212136753 its reverse (357631212121), we get a palindrome (478843348874).

The spelling of 121212136753 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred thirty-six thousand, seven hundred fifty-three".