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112120021120 = 2751710305149
BaseRepresentation
bin110100001101011011…
…1111100000010000000
3101201101211121012121211
41220122313330002000
53314110211133440
6123301321055504
711046303312022
oct1503267740200
9351354535554
10112120021120
1143605913388
1219890927594
13a75a7a7983
1455d89a2012
152db32b6eea
hex1a1adfc080

112120021120 has 64 divisors (see below), whose sum is σ = 283803831000. Its totient is φ = 42209886208.

The previous prime is 112120021099. The next prime is 112120021127. The reversal of 112120021120 is 21120021211.

It can be written as a sum of positive squares in 4 ways, for example, as 112074970176 + 45050944 = 334776^2 + 6712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 112120021120.

It is not an unprimeable number, because it can be changed into a prime (112120021127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5141695 + ... + 5163454.

Almost surely, 2112120021120 is an apocalyptic number.

112120021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120021120 is an abundant number, since it is smaller than the sum of its proper divisors (171683809880).

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

112120021120 is a wasteful number, since it uses less digits than its factorization.

112120021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305185 (or 10305173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112120021120 its reverse (21120021211), we get a palindrome (133240042331).

Subtracting from 112120021120 its reverse (21120021211), we obtain a palindrome (90999999909).

The spelling of 112120021120 in words is "one hundred twelve billion, one hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 10305149 20610298 41220596 51525745 82441192 103051490 164882384 175187533 206102980 329764768 350375066 412205960 659529536 700750132 824411920 875937665 1319059072 1401500264 1648823840 1751875330 2803000528 3297647680 3503750660 5606001056 6595295360 7007501320 11212002112 14015002640 22424004224 28030005280 56060010560 112120021120