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122020012222120 = 23531433911585131
BaseRepresentation
bin11011101111100111111111…
…011110111110011010101000
3121000000222222110011002202101
4123233213333132332122220
5111443133441112101440
61111303115245143144
734462440436602145
oct3357477736763250
9530028873132671
10122020012222120
113597443a931741
121182836725aab4
13531158ca57a9c
14221bb2b6a73cc
15e190494b569a
hex6ef9ff7be6a8

122020012222120 has 128 divisors (see below), whose sum is σ = 290066690580480. Its totient is φ = 46123223328000.

The previous prime is 122020012222061. The next prime is 122020012222133. The reversal of 122020012222120 is 21222210020221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208241955 + ... + 208827085.

It is an arithmetic number, because the mean of its divisors is an integer number (2266146020160).

Almost surely, 2122020012222120 is an apocalyptic number.

122020012222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145033345290240).

122020012222120 is an abundant number, since it is smaller than the sum of its proper divisors (168046678358360).

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

122020012222120 is a wasteful number, since it uses less digits than its factorization.

122020012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589127 (or 589123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122020012222120 its reverse (21222210020221), we get a palindrome (143242222242341).

The spelling of 122020012222120 in words is "one hundred twenty-two trillion, twenty billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 3911 5332 6665 7822 10664 13330 15644 19555 26660 31288 39110 53320 78220 121241 156440 168173 242482 336346 484964 585131 606205 672692 840865 969928 1170262 1212410 1345384 1681730 2340524 2424820 2925655 3363460 4681048 4849640 5213363 5851310 6726920 10426726 11702620 18139061 20853452 23405240 25160633 26066815 36278122 41706904 50321266 52133630 72556244 90695305 100642532 104267260 125803165 145112488 181390610 201285064 208534520 251606330 362781220 503212660 725562440 779979623 1006425320 1559959246 2288447341 3119918492 3899898115 4576894682 6239836984 7799796230 9153789364 11442236705 15599592460 18307578728 22884473410 31199184920 45768946820 70941867571 91537893640 98403235663 141883735142 196806471326 283767470284 354709337855 393612942652 492016178315 567534940568 709418675710 787225885304 984032356630 1418837351420 1968064713260 2837674702840 3050500305553 3936129426520 6101000611106 12202001222212 15252501527765 24404002444424 30505003055530 61010006111060 122020012222120