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121212112013 = 1433486117401
BaseRepresentation
bin111000011100011001…
…1100000110010001101
3102120212110222021120222
41300320303200302031
53441220300041023
6131403432121125
711520514644446
oct1607063406215
9376773867528
10121212112013
1147451093893
121b5a98361a5
13b57935c805
145c1c30a2cd
1532465d4cc8
hex1c38ce0c8d

121212112013 has 8 divisors (see below), whose sum is σ = 121328623416. Its totient is φ = 121095648000.

The previous prime is 121212112001. The next prime is 121212112019. The reversal of 121212112013 is 310211212121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70310886244 + 50901225769 = 265162^2 + 225613^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121212112013 - 210 = 121212110989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121212111982 and 121212112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6957113 + ... + 6974513.

It is an arithmetic number, because the mean of its divisors is an integer number (15166077927).

Almost surely, 2121212112013 is an apocalyptic number.

It is an amenable number.

121212112013 is a deficient number, since it is larger than the sum of its proper divisors (116511403).

121212112013 is a wasteful number, since it uses less digits than its factorization.

121212112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23695.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121212112013 its reverse (310211212121), we get a palindrome (431423324134).

The spelling of 121212112013 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, thirteen".

Divisors: 1 1433 4861 17401 6965813 24935633 84586261 121212112013