Search a number
-
+
121222012112201 = 711134127110899191
BaseRepresentation
bin11011100100000000110010…
…111110001000110101001001
3120220012201012110011022012202
4123210000302332020311021
5111342100140100042301
61105452342405245545
734351000315563350
oct3344006276106511
9526181173138182
10121222012112201
1135696a6a649a70
121171977a7038b5
135284257217730
1421d1268bac997
15e033e1a6366b
hex6e4032f88d49

121222012112201 has 64 divisors (see below), whose sum is σ = 167344624484352. Its totient is φ = 84752101440000.

The previous prime is 121222012112171. The next prime is 121222012112209. The reversal of 121222012112201 is 102211210222121.

It is a cyclic number.

It is not a de Polignac number, because 121222012112201 - 226 = 121221945003337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121222012112209) 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, 5672516 + ... + 16571706.

It is an arithmetic number, because the mean of its divisors is an integer number (2614759757568).

Almost surely, 2121222012112201 is an apocalyptic number.

121222012112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121222012112201 is a deficient number, since it is larger than the sum of its proper divisors (46122612372151).

121222012112201 is a wasteful number, since it uses less digits than its factorization.

121222012112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899534.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121222012112201 its reverse (102211210222121), we get a palindrome (223433222334322).

The spelling of 121222012112201 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twelve million, one hundred twelve thousand, two hundred one".

Divisors: 1 7 11 13 41 77 91 143 271 287 451 533 1001 1897 2981 3157 3523 3731 5863 11111 20867 24661 38753 41041 77777 122221 144443 271271 855547 1011101 1588873 10899191 11122111 76294337 119891101 141689483 446866831 839237707 991826381 1558584313 2953680761 3128067817 4915535141 5809268803 10910090191 20675765327 32490488371 34408745987 38397849893 40664881621 63901956833 121100911201 227433418597 268784949251 422376348823 447313697831 847706378407 1332110023211 1574311845613 2956634441761 9324770162477 11020182919291 17317430301743 121222012112201