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12123101320 = 2351123497177
BaseRepresentation
bin10110100101001011…
…11101100010001000
31011021212202100121121
423102211331202020
5144312003220240
65322544045024
7606264442501
oct132245754210
934255670547
1012123101320
1151611a1500
122424003774
1311b2806245
14830103ba8
154ae48a04a
hex2d297d888

12123101320 has 96 divisors (see below), whose sum is σ = 30072231000. Its totient is φ = 4395156480.

The previous prime is 12123101281. The next prime is 12123101371. The reversal of 12123101320 is 2310132121.

It can be written as a sum of positive squares in 4 ways, for example, as 12046818564 + 76282756 = 109758^2 + 8734^2 .

It is a super-2 number, since 2×121231013202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123101294 and 12123101303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1685572 + ... + 1692748.

Almost surely, 212123101320 is an apocalyptic number.

12123101320 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 12123101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036115500).

12123101320 is an abundant number, since it is smaller than the sum of its proper divisors (17949129680).

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

12123101320 is a wasteful number, since it uses less digits than its factorization.

12123101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12123101320 its reverse (2310132121), we get a palindrome (14433233441).

The spelling of 12123101320 in words is "twelve billion, one hundred twenty-three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 349 440 484 605 698 968 1210 1396 1745 2420 2792 3490 3839 4840 6980 7177 7678 13960 14354 15356 19195 28708 30712 35885 38390 42229 57416 71770 76780 78947 84458 143540 153560 157894 168916 211145 287080 315788 337832 394735 422290 631576 789470 844580 868417 1578940 1689160 1736834 2504773 3157880 3473668 4342085 5009546 6947336 8684170 10019092 12523865 17368340 20038184 25047730 27552503 34736680 50095460 55105006 100190920 110210012 137762515 220420024 275525030 303077533 551050060 606155066 1102100120 1212310132 1515387665 2424620264 3030775330 6061550660 12123101320