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122102102200020 = 223519791355786167
BaseRepresentation
bin11011110000110100011100…
…011011011000111011010100
3121000022211212102221001110020
4123300310130123120323110
5112001010101130400040
61111404533102225140
734501404630106605
oct3360643433307324
9530284772831406
10122102102200020
11359a6235551088
1211840256b851b0
135319242b7bac7
142221ab7c3ddac
15e1b2511bbcd0
hex6f0d1c6d8ed4

122102102200020 has 96 divisors (see below), whose sum is σ = 364435321958400. Its totient is φ = 30456380433024.

The previous prime is 122102102200003. The next prime is 122102102200031. The reversal of 122102102200020 is 20002201201221.

122102102200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 677803024 + ... + 677983143.

It is an arithmetic number, because the mean of its divisors is an integer number (3796201270400).

Almost surely, 2122102102200020 is an apocalyptic number.

122102102200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102102200020 is an abundant number, since it is smaller than the sum of its proper divisors (242333219758380).

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

122102102200020 is a wasteful number, since it uses less digits than its factorization.

122102102200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355786277 (or 1355786275 counting only the distinct ones).

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

Adding to 122102102200020 its reverse (20002201201221), we get a palindrome (142104303401241).

The spelling of 122102102200020 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 79 95 114 158 190 228 237 285 316 380 395 474 570 790 948 1140 1185 1501 1580 2370 3002 4503 4740 6004 7505 9006 15010 18012 22515 30020 45030 90060 1355786167 2711572334 4067358501 5423144668 6778930835 8134717002 13557861670 16269434004 20336792505 25759937173 27115723340 40673585010 51519874346 77279811519 81347170020 103039748692 107107107193 128799685865 154559623038 214214214386 257599371730 309119246076 321321321579 386399057595 428428428772 515198743460 535535535965 642642643158 772798115190 1071071071930 1285285286316 1545596230380 1606606607895 2035035036667 2142142143860 3213213215790 4070070073334 6105105110001 6426426431580 8140140146668 10175175183335 12210210220002 20350350366670 24420420440004 30525525550005 40700700733340 61051051100010 122102102200020