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123300012220 = 225721122750387
BaseRepresentation
bin111001011010101000…
…0001110000010111100
3102210020222201121020021
41302311100032002330
54010004300342340
6132350535101524
711623326545200
oct1626520160274
9383228647207
10123300012220
1148322708150
121ba90b118a4
13b81caa2118
145d79726b00
153319a5be4a
hex1cb540e0bc

123300012220 has 144 divisors (see below), whose sum is σ = 330040593792. Its totient is φ = 38261112960.

The previous prime is 123300012203. The next prime is 123300012307. The reversal of 123300012220 is 22210003321.

It is a junction number, because it is equal to n+sod(n) for n = 123300012194 and 123300012203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421867 + ... + 2472253.

It is an arithmetic number, because the mean of its divisors is an integer number (2291948568).

Almost surely, 2123300012220 is an apocalyptic number.

123300012220 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 123300012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165020296896).

123300012220 is an abundant number, since it is smaller than the sum of its proper divisors (206740581572).

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

123300012220 is a wasteful number, since it uses less digits than its factorization.

123300012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50648 (or 50639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123300012220 its reverse (22210003321), we get a palindrome (145510015541).

The spelling of 123300012220 in words is "one hundred twenty-three billion, three hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 227 245 308 385 454 490 539 770 908 980 1078 1135 1540 1589 2156 2270 2497 2695 3178 4540 4994 5390 6356 7945 9988 10780 11123 12485 15890 17479 22246 24970 31780 34958 44492 49940 50387 55615 69916 87395 100774 111230 122353 174790 201548 222460 244706 251935 349580 352709 489412 503870 554257 611765 705418 1007740 1108514 1223530 1410836 1763545 2217028 2447060 2468963 2771285 3527090 3879799 4937926 5542570 7054180 7759598 9875852 11085140 11437849 12344815 15519196 19398995 22875698 24689630 27158593 38797990 45751396 49379260 54317186 57189245 77595980 80064943 108634372 114378490 125816339 135792965 160129886 228756980 251632678 271585930 320259772 400324715 503265356 543171860 560454601 629081695 800649430 880714373 1120909202 1258163390 1601298860 1761428746 2241818404 2516326780 2802273005 3522857492 4403571865 5604546010 6165000611 8807143730 11209092020 12330001222 17614287460 24660002444 30825003055 61650006110 123300012220