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122112130112 = 267238938817
BaseRepresentation
bin111000110111001110…
…0110011110001000000
3102200012012111221022122
41301232130303301000
54000041201130422
6132033022423412
711552023660100
oct1615634636100
9380165457278
10122112130112
11478731287a5
121b7bb131b68
13b6909614bb
145ca5a6d200
15329a616d42
hex1c6e733c40

122112130112 has 42 divisors (see below), whose sum is σ = 281878103502. Its totient is φ = 52333768704.

The previous prime is 122112130079. The next prime is 122112130201. The reversal of 122112130112 is 211031211221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101495765056 + 20616365056 = 318584^2 + 143584^2 .

It is a super-2 number, since 2×1221121301122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19466273 + ... + 19472544.

Almost surely, 2122112130112 is an apocalyptic number.

It is an amenable number.

122112130112 is an abundant number, since it is smaller than the sum of its proper divisors (159765973390).

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

122112130112 is an equidigital number, since it uses as much as digits as its factorization.

122112130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38938843 (or 38938826 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122112130112 its reverse (211031211221), we get a palindrome (333143341333).

The spelling of 122112130112 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 38938817 77877634 155755268 272571719 311510536 545143438 623021072 1090286876 1246042144 1908002033 2180573752 2492084288 3816004066 4361147504 7632008132 8722295008 15264016264 17444590016 30528032528 61056065056 122112130112