Search a number
-
+
123412322000 = 24531143130457
BaseRepresentation
bin111001011101111110…
…0101001011011010000
3102210112211001112021202
41302323330221123100
54010222023301000
6132410030210332
711626162300022
oct1627374513320
9383484045252
10123412322000
1148380047150
121bb026539a8
13b83a135906
145d8a600012
153324843dd5
hex1cbbf296d0

123412322000 has 160 divisors (see below), whose sum is σ = 333112500864. Its totient is φ = 43833216000.

The previous prime is 123412321999. The next prime is 123412322003. The reversal of 123412322000 is 223214321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123412322003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880772 + ... + 1011228.

Almost surely, 2123412322000 is an apocalyptic number.

123412322000 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 123412322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166556250432).

123412322000 is an abundant number, since it is smaller than the sum of its proper divisors (209700178864).

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

123412322000 is a wasteful number, since it uses less digits than its factorization.

123412322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130534 (or 130518 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123412322000 its reverse (223214321), we get a palindrome (123635536321).

The spelling of 123412322000 in words is "one hundred twenty-three billion, four hundred twelve million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 17200 18920 21500 22000 23650 37840 43000 47300 59125 86000 94600 118250 130457 189200 236500 260914 473000 521828 652285 946000 1043656 1304570 1435027 2087312 2609140 2870054 3261425 5218280 5609651 5740108 6522850 7175135 10436560 11219302 11480216 13045700 14350270 16307125 22438604 22960432 26091400 28048255 28700540 32614250 35875675 44877208 52182800 56096510 57401080 61706161 65228500 71751350 89754416 112193020 114802160 123412322 130457000 140241275 143502700 179378375 224386040 246824644 260914000 280482550 287005400 308530805 358756750 448772080 493649288 560965100 574010800 617061610 701206375 717513500 987298576 1121930200 1234123220 1402412750 1435027000 1542654025 2243860400 2468246440 2804825500 2870054000 3085308050 4936492880 5609651000 6170616100 7713270125 11219302000 12341232200 15426540250 24682464400 30853080500 61706161000 123412322000