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110020220012120 = 235113892633244129
BaseRepresentation
bin11001000001000000010100…
…001000011100011001011000
3112102112211102022001211020212
4121001000110020130121120
5103410032402310341440
61025554331420510252
732113461421010315
oct3101002410343130
9472484368054225
10110020220012120
1132068349a80610
121040a7a50ab388
134950b2941c182
141d25015537d0c
15cabd2993c465
hex64101421c658

110020220012120 has 128 divisors (see below), whose sum is σ = 270847782504000. Its totient is φ = 39889187143680.

The previous prime is 110020220012111. The next prime is 110020220012137. The reversal of 110020220012120 is 21210022020011.

It is a junction number, because it is equal to n+sod(n) for n = 110020220012095 and 110020220012104.

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, 450542216 + ... + 450786344.

Almost surely, 2110020220012120 is an apocalyptic number.

110020220012120 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 110020220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135423891252000).

110020220012120 is an abundant number, since it is smaller than the sum of its proper divisors (160827562491880).

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

110020220012120 is a wasteful number, since it uses less digits than its factorization.

110020220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247173 (or 247169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110020220012120 its reverse (21210022020011), we get a palindrome (131230242032131).

The spelling of 110020220012120 in words is "one hundred ten trillion, twenty billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 2633 3112 3890 4279 5266 7780 8558 10532 13165 15560 17116 21064 21395 26330 28963 34232 42790 52660 57926 85580 105320 115852 144815 171160 231704 244129 289630 488258 579260 976516 1024237 1158520 1220645 1953032 2048474 2441290 2685419 4096948 4882580 5121185 5370838 8193896 9765160 10242370 10741676 11266607 13427095 20484740 21483352 22533214 26854190 40969480 45066428 53708380 56333035 90132856 94966181 107416760 112666070 189932362 225332140 379864724 450664280 474830905 642791657 759729448 949661810 1044627991 1285583314 1899323620 2089255982 2571166628 3213958285 3798647240 4178511964 5142333256 5223139955 6427916570 7070708227 8357023928 10446279910 12855833140 14141416454 20892559820 25711666280 28282832908 35353541135 41785119640 56565665816 70707082270 141414164540 250045954573 282828329080 500091909146 1000183818292 1250229772865 2000367636584 2500459545730 2750505500303 5000919091460 5501011000606 10001838182920 11002022001212 13752527501515 22004044002424 27505055003030 55010110006060 110020220012120