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122101111101122 = 21729401513084227
BaseRepresentation
bin11011110000110011100001…
…010110101001011011000010
3121000022202022101000000100122
4123300303201112221123002
5112001001033420213442
61111404250455420242
734501341233650466
oct3360634126513302
9530282271000318
10122101111101122
11359a587705788a
121184001b084682
13531911573a25a
142221a2236c4a6
15e1b1e4197dd2
hex6f0ce15a96c2

122101111101122 has 32 divisors (see below), whose sum is σ = 200617434702720. Its totient is φ = 55476589907200.

The previous prime is 122101111101061. The next prime is 122101111101127. The reversal of 122101111101122 is 221101111101221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 122101111101122.

It is not an unprimeable number, because it can be changed into a prime (122101111101127) 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 15 ways as a sum of consecutive naturals, for example, 38046773 + ... + 41130999.

It is an arithmetic number, because the mean of its divisors is an integer number (6269294834460).

Almost surely, 2122101111101122 is an apocalyptic number.

122101111101122 is a deficient number, since it is larger than the sum of its proper divisors (78516323601598).

122101111101122 is a wasteful number, since it uses less digits than its factorization.

122101111101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124426.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122101111101122 its reverse (221101111101221), we get a palindrome (343202222202343).

Subtracting 122101111101122 from its reverse (221101111101221), we obtain a palindrome (99000000000099).

The spelling of 122101111101122 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 17 29 34 58 493 986 40151 80302 682567 1164379 1365134 2328758 3084227 6168454 19794443 39588886 52431859 89442583 104863718 178885166 1520523911 3041047822 123834798277 247669596554 2105191570709 3591209150033 4210383141418 7182418300066 61050555550561 122101111101122