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12301314120 = 2332534170317
BaseRepresentation
bin10110111010011011…
…10010100001001000
31011202022002111121200
423131031302201020
5200143114022440
65352351504200
7613560305364
oct133515624110
934668074550
1012301314120
115242853407
122473828060
1312107027c4
14849a542a4
154bee3dc30
hex2dd372848

12301314120 has 48 divisors (see below), whose sum is σ = 39979272060. Its totient is φ = 3280350336.

The previous prime is 12301314061. The next prime is 12301314127. The reversal of 12301314120 is 2141310321.

12301314120 is a `hidden beast` number, since 1 + 230 + 1 + 314 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11975800356 + 325513764 = 109434^2 + 18042^2 .

It is a super-2 number, since 2×123013141202 (a number of 21 digits) contains 22 as substring.

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 = 12301314093 and 12301314102.

It is not an unprimeable number, because it can be changed into a prime (12301314127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17084799 + ... + 17085518.

Almost surely, 212301314120 is an apocalyptic number.

12301314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301314120 is an abundant number, since it is smaller than the sum of its proper divisors (27677957940).

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

12301314120 is a wasteful number, since it uses less digits than its factorization.

12301314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34170334 (or 34170327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12301314120 its reverse (2141310321), we get a palindrome (14442624441).

The spelling of 12301314120 in words is "twelve billion, three hundred one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34170317 68340634 102510951 136681268 170851585 205021902 273362536 307532853 341703170 410043804 512554755 615065706 683406340 820087608 1025109510 1230131412 1366812680 1537664265 2050219020 2460262824 3075328530 4100438040 6150657060 12301314120