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122303312020000 = 255423131264371
BaseRepresentation
bin11011110011101111110101…
…011101111100001000100000
3121001001002020002200221222001
4123303233311131330020200
5112012304140334120000
61112041211011053344
734522060041261556
oct3363576535741040
9531032202627861
10122303312020000
1135a735a8215a01
121187324b8a1254
1353321caa20097
14222b724889bd6
15e215ca96b46a
hex6f3bf577c220

122303312020000 has 120 divisors (see below), whose sum is σ = 300898639076112. Its totient is φ = 48919024800000.

The previous prime is 122303312019989. The next prime is 122303312020003. The reversal of 122303312020000 is 20213303221.

It is a super-2 number, since 2×1223033120200002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122303312020000.

It is not an unprimeable number, because it can be changed into a prime (122303312020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 462487815 + ... + 462752185.

Almost surely, 2122303312020000 is an apocalyptic number.

122303312020000 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 122303312020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150449319538056).

122303312020000 is an abundant number, since it is smaller than the sum of its proper divisors (178595327056112).

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

122303312020000 is an equidigital number, since it uses as much as digits as its factorization.

122303312020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287532 (or 287509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 122303312020000 its reverse (20213303221), we get a palindrome (122323525323221).

The spelling of 122303312020000 in words is "one hundred twenty-two trillion, three hundred three billion, three hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 23131 46262 92524 115655 185048 231310 264371 370096 462620 528742 578275 740192 925240 1057484 1156550 1321855 1850480 2114968 2313100 2643710 2891375 3700960 4229936 4626200 5287420 5782750 6609275 8459872 9252400 10574840 11565500 13218550 14456875 18504800 21149680 23131000 26437100 28913750 33046375 42299360 46262000 52874200 57827500 66092750 92524000 105748400 115655000 132185500 165231875 211496800 231310000 264371000 330463750 462620000 528742000 660927500 1057484000 1321855000 2643710000 5287420000 6115165601 12230331202 24460662404 30575828005 48921324808 61151656010 97842649616 122303312020 152879140025 195685299232 244606624040 305758280050 489213248080 611516560100 764395700125 978426496160 1223033120200 1528791400250 2446066240400 3057582800500 3821978500625 4892132480800 6115165601000 7643957001250 12230331202000 15287914002500 24460662404000 30575828005000 61151656010000 122303312020000