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122122122201201 = 316310932161105733
BaseRepresentation
bin11011110001000111000101…
…101101101000100001110001
3121000101202112200002111011110
4123301013011231220201301
5112001322101240414301
61111422043424303533
734503014014236153
oct3361070555504161
9530352480074143
10122122122201201
1135a037792a1301
1211844103771ba9
13531b0b373a555
142222a56a50ad3
15e1ba23a890d6
hex6f11c5b68871

122122122201201 has 32 divisors (see below), whose sum is σ = 164055771382912. Its totient is φ = 80803067304960.

The previous prime is 122122122201187. The next prime is 122122122201223. The reversal of 122122122201201 is 102102221221221.

It is not a de Polignac number, because 122122122201201 - 27 = 122122122201073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122122201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154951931 + ... + 1155057663.

It is an arithmetic number, because the mean of its divisors is an integer number (5126742855716).

Almost surely, 2122122122201201 is an apocalyptic number.

It is an amenable number.

122122122201201 is a deficient number, since it is larger than the sum of its proper divisors (41933649181711).

122122122201201 is a wasteful number, since it uses less digits than its factorization.

122122122201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109153.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122122122201201 its reverse (102102221221221), we get a palindrome (224224343422422).

The spelling of 122122122201201 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, two hundred one".

Divisors: 1 3 163 489 1093 2161 3279 6483 105733 178159 317199 352243 534477 1056729 2361973 7085919 17234479 51703437 115566169 228489013 346698507 385001599 685467039 1155004797 18837285547 37243709119 56511856641 111731127357 249738491209 749215473627 40707374067067 122122122201201