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12122123300320 = 2551110876336311
BaseRepresentation
bin1011000001100110011011…
…0110100110110111100000
31120220212022121121112202111
42300121212312212313200
53042102102031102240
641440454312125104
72360536341644605
oct260314666466740
946825277545674
1012122123300320
113953a66641980
121439422696794
1369c15a762477
142dc9dcd186ac
151604ce4e21ea
hexb0666da6de0

12122123300320 has 96 divisors (see below), whose sum is σ = 31270764220416. Its totient is φ = 4403988902400.

The previous prime is 12122123300263. The next prime is 12122123300323. The reversal of 12122123300320 is 2300332122121.

12122123300320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121221233003203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 12122123300291 and 12122123300300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122123300323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255036 + ... + 5081275.

It is an arithmetic number, because the mean of its divisors is an integer number (325737127296).

Almost surely, 212122123300320 is an apocalyptic number.

12122123300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122123300320 is an abundant number, since it is smaller than the sum of its proper divisors (19148640920096).

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

12122123300320 is a wasteful number, since it uses less digits than its factorization.

12122123300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337424 (or 6337416 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12122123300320 its reverse (2300332122121), we get a palindrome (14422455422441).

The spelling of 12122123300320 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1087 1760 2174 4348 5435 8696 10870 11957 17392 21740 23914 34784 43480 47828 59785 86960 95656 119570 173920 191312 239140 382624 478280 956560 1913120 6336311 12672622 25345244 31681555 50690488 63363110 69699421 101380976 126726220 139398842 202761952 253452440 278797684 348497105 506904880 557595368 696994210 1013809760 1115190736 1393988420 2230381472 2787976840 5575953680 6887570057 11151907360 13775140114 27550280228 34437850285 55100560456 68875700570 75763270627 110201120912 137751401140 151526541254 220402241824 275502802280 303053082508 378816353135 551005604560 606106165016 757632706270 1102011209120 1212212330032 1515265412540 2424424660064 3030530825080 6061061650160 12122123300320