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12020222011120 = 2451013494262611
BaseRepresentation
bin1010111011101010110100…
…0100000010011011110000
31120120010021221100201001021
42232322231010002123300
53033414403313323440
641322002545545224
72350301210200111
oct256725504023360
946503257321037
1012020222011120
113914824a60094
121421724045214
1369266b08a43b
142d7ad3576208
1515ca183e284a
hexaeead1026f0

12020222011120 has 80 divisors (see below), whose sum is σ = 28304596202400. Its totient is φ = 4746842496000.

The previous prime is 12020222011093. The next prime is 12020222011201. The reversal of 12020222011120 is 2111022202021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120202220111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12020222011094 and 12020222011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688615 + ... + 4951225.

It is an arithmetic number, because the mean of its divisors is an integer number (353807452530).

Almost surely, 212020222011120 is an apocalyptic number.

12020222011120 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 12020222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152298101200).

12020222011120 is an abundant number, since it is smaller than the sum of its proper divisors (16284374191280).

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

12020222011120 is a wasteful number, since it uses less digits than its factorization.

12020222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263074 (or 4263068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12020222011120 its reverse (2111022202021), we get a palindrome (14131244213141).

The spelling of 12020222011120 in words is "twelve trillion, twenty billion, two hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 349 404 505 698 808 1010 1396 1616 1745 2020 2792 3490 4040 5584 6980 8080 13960 27920 35249 70498 140996 176245 281992 352490 563984 704980 1409960 2819920 4262611 8525222 17050444 21313055 34100888 42626110 68201776 85252220 170504440 341008880 430523711 861047422 1487651239 1722094844 2152618555 2975302478 3444189688 4305237110 5950604956 6888379376 7438256195 8610474220 11901209912 14876512390 17220948440 23802419824 29753024780 34441896880 59506049560 119012099120 150252775139 300505550278 601011100556 751263875695 1202022201112 1502527751390 2404044402224 3005055502780 6010111005560 12020222011120