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12123320440 = 2357118634561
BaseRepresentation
bin10110100101001101…
…10011000001111000
31011021220011111012011
423102212303001320
5144312032223230
65322552455304
7606266344360
oct132246630170
934256144164
1012123320440
1151613310a0
1224240aa534
1311b2881bba
1483015d9a0
154ae4cee2a
hex2d29b3078

12123320440 has 128 divisors (see below), whose sum is σ = 34055147520. Its totient is φ = 3773491200.

The previous prime is 12123320431. The next prime is 12123320453. The reversal of 12123320440 is 4402332121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655760 + ... + 2660320.

It is an arithmetic number, because the mean of its divisors is an integer number (266055840).

Almost surely, 212123320440 is an apocalyptic number.

12123320440 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 12123320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027573760).

12123320440 is an abundant number, since it is smaller than the sum of its proper divisors (21931827080).

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

12123320440 is a wasteful number, since it uses less digits than its factorization.

12123320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12123320440 its reverse (4402332121), we get a palindrome (16525652561).

The spelling of 12123320440 in words is "twelve billion, one hundred twenty-three million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 863 1540 1726 3080 3452 4315 4561 6041 6904 8630 9122 9493 12082 17260 18244 18986 22805 24164 30205 31927 34520 36488 37972 45610 47465 48328 50171 60410 63854 66451 75944 91220 94930 100342 120820 127708 132902 159635 182440 189860 200684 241640 250855 255416 265804 319270 332255 351197 379720 401368 501710 531608 638540 664510 702394 1003420 1277080 1329020 1404788 1755985 2006840 2658040 2809576 3511970 3936143 7023940 7872286 14047880 15744572 19680715 27553001 31489144 39361430 43297573 55106002 78722860 86595146 110212004 137765005 157445720 173190292 216487865 220424008 275530010 303083011 346380584 432975730 551060020 606166022 865951460 1102120040 1212332044 1515415055 1731902920 2424664088 3030830110 6061660220 12123320440