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122211200000220 = 2235171188911007771
BaseRepresentation
bin11011110010011010000011…
…001010011110000011011100
3121000201021110122200112100220
4123302122003022132003130
5112004302014200001340
61111531014502521340
734512316315110132
oct3362320312360334
9530637418615326
10122211200000220
1135a3852a3a7121
1211859423736250
13532660b491c76
1422270a7293752
15e1ded8ea0ed0
hex6f268329e0dc

122211200000220 has 96 divisors (see below), whose sum is σ = 362323670558976. Its totient is φ = 30672326476800.

The previous prime is 122211200000213. The next prime is 122211200000321. The reversal of 122211200000220 is 22000002112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122211200000220.

It is a congruent number.

It is an unprimeable number.

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, 120764935 + ... + 121772705.

It is an arithmetic number, because the mean of its divisors is an integer number (3774204901656).

Almost surely, 2122211200000220 is an apocalyptic number.

122211200000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211200000220 is an abundant number, since it is smaller than the sum of its proper divisors (240112470558756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122211200000220 is a wasteful number, since it uses less digits than its factorization.

122211200000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126691 (or 1126689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122211200000220 its reverse (22000002112221), we get a palindrome (144211202112441).

The spelling of 122211200000220 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 118891 237782 356673 475564 594455 713346 1007771 1188910 1426692 1783365 2015542 2021147 2377820 3023313 3566730 4031084 4042294 5038855 6046626 6063441 7133460 8084588 10077710 10105735 12093252 12126882 15116565 17132107 20155420 20211470 24253764 30233130 30317205 34264214 40422940 51396321 60466260 60634410 68528428 85660535 102792642 121268820 171321070 205585284 256981605 342642140 513963210 1027926420 119814901961 239629803922 359444705883 479259607844 599074509805 718889411766 1198149019610 1437778823532 1797223529415 2036853333337 2396298039220 3594447058830 4073706666674 6110560000011 7188894117660 8147413333348 10184266666685 12221120000022 20368533333370 24442240000044 30552800000055 40737066666740 61105600000110 122211200000220