Search a number
-
+
122122221201201 = 31319461376794903
BaseRepresentation
bin11011110001000111001011…
…100111010010011100110001
3121000101202210120101012122010
4123301013023213102130301
5112001322302111414301
61111422101322233133
734503016325564664
oct3361071347223461
9530352716335563
10122122221201201
1135a0381a16a491
12118441309557a9
13531b0cb0c0b30
142222a65c616db
15e1ba2c5e25d6
hex6f11cb9d2731

122122221201201 has 64 divisors (see below), whose sum is σ = 185035649863680. Its totient is φ = 71022713207040.

The previous prime is 122122221201151. The next prime is 122122221201229. The reversal of 122122221201201 is 102102122221221.

It is not a de Polignac number, because 122122221201201 - 225 = 122122187646769 is a prime.

It is a super-2 number, since 2×1221222212012012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122122221201401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286763516 + ... + 1286858418.

It is an arithmetic number, because the mean of its divisors is an integer number (2891182029120).

Almost surely, 2122122221201201 is an apocalyptic number.

It is an amenable number.

122122221201201 is a deficient number, since it is larger than the sum of its proper divisors (62913428662479).

122122221201201 is a wasteful number, since it uses less digits than its factorization.

122122221201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99166.

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

Adding to 122122221201201 its reverse (102102122221221), we get a palindrome (224224343422422).

The spelling of 122122221201201 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, two hundred one".

Divisors: 1 3 13 19 39 57 247 461 741 1383 3767 5993 8759 11301 17979 26277 48971 71573 94903 113867 146913 214719 284709 341601 930449 1233739 1736587 1803157 2791347 3701217 5209761 5409471 22575631 23441041 32995153 43750283 67726893 70323123 98985459 131250849 357499601 428936989 568753679 831255377 1072498803 1286810967 1706261037 2493766131 4647494813 6792492419 10806319901 13942484439 20377477257 32418959703 88302401447 164807316061 264907204341 494421948183 2142495108793 3131339005159 6427485326379 9394017015477 40707407067067 122122221201201