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122002211200220 = 225137137317718509
BaseRepresentation
bin11011101111010111011010…
…011101011101110011011100
3120222222022000212101111100222
4123233113122131131303130
5111442341012031401340
61111251013031340512
734461240345450131
oct3357273235356334
9528868025344328
10122002211200220
11359679356a449a
1211824a19821738
13530c9b3b14630
14221ad1d474588
15e188568138b5
hex6ef5da75dcdc

122002211200220 has 96 divisors (see below), whose sum is σ = 280548933920640. Its totient is φ = 44293435038720.

The previous prime is 122002211200211. The next prime is 122002211200223. The reversal of 122002211200220 is 22002112200221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002211200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973675 + ... + 15744834.

It is an arithmetic number, because the mean of its divisors is an integer number (2922384728340).

Almost surely, 2122002211200220 is an apocalyptic number.

122002211200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002211200220 is an abundant number, since it is smaller than the sum of its proper divisors (158546722720420).

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

122002211200220 is a wasteful number, since it uses less digits than its factorization.

122002211200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17718975 (or 17718973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122002211200220 its reverse (22002112200221), we get a palindrome (144004323400441).

The spelling of 122002211200220 in words is "one hundred twenty-two trillion, two billion, two hundred eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 373 710 746 923 1420 1492 1846 1865 3692 3730 4615 4849 7460 9230 9698 18460 19396 24245 26483 48490 52966 96980 105932 132415 264830 344279 529660 688558 1377116 1721395 3442790 6885580 17718509 35437018 70874036 88592545 177185090 230340617 354370180 460681234 921362468 1151703085 1258014139 2303406170 2516028278 4606812340 5032056556 6290070695 6609003857 12580141390 13218007714 16354183807 25160282780 26436015428 32708367614 33045019285 65416735228 66090038570 81770919035 85917050141 132180077140 163541838070 171834100282 327083676140 343668200564 429585250705 469239273847 859170501410 938478547694 1718341002820 1876957095388 2346196369235 4692392738470 6100110560011 9384785476940 12200221120022 24400442240044 30500552800055 61001105600110 122002211200220