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122121012221 = 13233161321493
BaseRepresentation
bin111000110111011111…
…0101100001111111101
3102200012211020012021122
41301232332230033331
54000100434342341
6132033541040325
711552162322335
oct1615676541775
9380184205248
10122121012221
1147878144a8a
121b8020b60a5
13b6927512a0
145ca6d020c5
15329b2bd94b
hex1c6efac3fd

122121012221 has 32 divisors (see below), whose sum is σ = 141897541632. Its totient is φ = 104172583680.

The previous prime is 122121012191. The next prime is 122121012229. The reversal of 122121012221 is 122210121221.

It is a cyclic number.

It is not a de Polignac number, because 122121012221 - 218 = 122120750077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121012229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5671151 + ... + 5692643.

It is an arithmetic number, because the mean of its divisors is an integer number (4434298176).

Almost surely, 2122121012221 is an apocalyptic number.

It is an amenable number.

122121012221 is a deficient number, since it is larger than the sum of its proper divisors (19776529411).

122121012221 is a wasteful number, since it uses less digits than its factorization.

122121012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22173.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122121012221 its reverse (122210121221), we get a palindrome (244331133442).

The spelling of 122121012221 in words is "one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 13 23 31 299 403 613 713 7969 9269 14099 19003 21493 183287 247039 279409 437069 494339 666283 5681897 6426407 8661679 13175209 15324509 171277717 199218617 303029807 408431479 3939387491 5309609227 9393924017 122121012221