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112221011212020 = 223251453429077813
BaseRepresentation
bin11001100001000001111101…
…100000100111011011110100
3112201100020001012222110221100
4121201001331200213123310
5104202112112332241040
61034401342034050100
732431462162364544
oct3141017540473364
9481306035873840
10112221011212020
1132836733262807
1210705225719930
134a8051bb93c19
141d9d7511c3324
15ce91d5578b30
hex66107d8276f4

112221011212020 has 72 divisors (see below), whose sum is σ = 340638011289576. Its totient is φ = 29905007185152.

The previous prime is 112221011212003. The next prime is 112221011212043. The reversal of 112221011212020 is 20212110122211.

It can be written as a sum of positive squares in 4 ways, for example, as 71491827520656 + 40729183691364 = 8455284^2 + 6381942^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112221011211984 and 112221011212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214277367 + ... + 214800446.

It is an arithmetic number, because the mean of its divisors is an integer number (4731083490133).

Almost surely, 2112221011212020 is an apocalyptic number.

112221011212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112221011212020 is an abundant number, since it is smaller than the sum of its proper divisors (228417000077556).

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

112221011212020 is a wasteful number, since it uses less digits than its factorization.

112221011212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429079281 (or 429079276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112221011212020 its reverse (20212110122211), we get a palindrome (132433121334231).

The spelling of 112221011212020 in words is "one hundred twelve trillion, two hundred twenty-one billion, eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1453 2906 4359 5812 7265 8718 13077 14530 17436 21795 26154 29060 43590 52308 65385 87180 130770 261540 429077813 858155626 1287233439 1716311252 2145389065 2574466878 3861700317 4290778130 5148933756 6436167195 7723400634 8581556260 12872334390 15446801268 19308501585 25744668780 38617003170 77234006340 623450062289 1246900124578 1870350186867 2493800249156 3117250311445 3740700373734 5611050560601 6234500622890 7481400747468 9351750934335 11222101121202 12469001245780 18703501868670 22444202242404 28055252803005 37407003737340 56110505606010 112221011212020