Search a number
-
+
12322102023120 = 2435711259574367
BaseRepresentation
bin1011001101001111011010…
…0000111001001111010000
31121121222111110212020102110
42303103312200321033100
53103341131104214440
642112410122145320
72411146114023141
oct263236640711720
947558443766373
1012322102023120
113a208573a020a
121470133052240
136b4c7a541a86
1430857025bac8
151657d5b62080
hexb34f68393d0

12322102023120 has 160 divisors (see below), whose sum is σ = 38767358730240. Its totient is φ = 3237034877440.

The previous prime is 12322102023097. The next prime is 12322102023149. The reversal of 12322102023120 is 2132020122321.

12322102023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21166177 + ... + 21740543.

It is an arithmetic number, because the mean of its divisors is an integer number (242295992064).

Almost surely, 212322102023120 is an apocalyptic number.

12322102023120 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 12322102023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383679365120).

12322102023120 is an abundant number, since it is smaller than the sum of its proper divisors (26445256707120).

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

12322102023120 is a wasteful number, since it uses less digits than its factorization.

12322102023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575713 (or 575707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12322102023120 its reverse (2132020122321), we get a palindrome (14454122145441).

The spelling of 12322102023120 in words is "twelve trillion, three hundred twenty-two billion, one hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1259 1420 1704 2130 2518 2840 3408 3777 4260 5036 5680 6295 7554 8520 10072 12590 15108 17040 18885 20144 25180 30216 37770 50360 60432 75540 89389 100720 151080 178778 268167 302160 357556 446945 536334 574367 715112 893890 1072668 1148734 1340835 1430224 1723101 1787780 2145336 2297468 2681670 2871835 3446202 3575560 4290672 4594936 5363340 5743670 6892404 7151120 8615505 9189872 10726680 11487340 13784808 17231010 21453360 22974680 27569616 34462020 40780057 45949360 68924040 81560114 122340171 137848080 163120228 203900285 244680342 326240456 407800570 489360684 611700855 652480912 723128053 815601140 978721368 1223401710 1446256106 1631202280 1957442736 2169384159 2446803420 2892512212 3262404560 3615640265 4338768318 4893606840 5785024424 7231280530 8677536636 9787213680 10846920795 11570048848 14462561060 17355073272 21693841590 28925122120 34710146544 43387683180 51342091763 57850244240 86775366360 102684183526 154026275289 173550732720 205368367052 256710458815 308052550578 410736734104 513420917630 616105101156 770131376445 821473468208 1026841835260 1232210202312 1540262752890 2053683670520 2464420404624 3080525505780 4107367341040 6161051011560 12322102023120