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2321221121200 = 2452131269164677
BaseRepresentation
bin100001110001110011100…
…011110111010010110000
322012220110220001112100001
4201301303203313102300
5301012330101334300
64534204304235344
7326463010661422
oct41616343672260
98186426045301
102321221121200
11815473899583
12315a5030bb54
1313ab75a48917
14804c2144812
15405a871616a
hex21c738f74b0

2321221121200 has 120 divisors (see below), whose sum is σ = 5640228087120. Its totient is φ = 917969894400.

The previous prime is 2321221121171. The next prime is 2321221121203. The reversal of 2321221121200 is 21211221232.

2321221121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2321221121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14013262 + ... + 14177938.

It is an arithmetic number, because the mean of its divisors is an integer number (47001900726).

Almost surely, 22321221121200 is an apocalyptic number.

2321221121200 is a gapful number since it is divisible by the number (20) 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 2321221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820114043560).

2321221121200 is an abundant number, since it is smaller than the sum of its proper divisors (3319006965920).

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

2321221121200 is a wasteful number, since it uses less digits than its factorization.

2321221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165095 (or 165084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2321221121200 its reverse (21211221232), we get a palindrome (2342432342432).

The spelling of 2321221121200 in words is "two trillion, three hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 269 400 524 538 655 1048 1076 1310 1345 2096 2152 2620 2690 3275 4304 5240 5380 6550 6725 10480 10760 13100 13450 21520 26200 26900 35239 52400 53800 70478 107600 140956 164677 176195 281912 329354 352390 563824 658708 704780 823385 880975 1317416 1409560 1646770 1761950 2634832 2819120 3293540 3523900 4116925 6587080 7047800 8233850 13174160 14095600 16467700 21572687 32935400 43145374 44298113 65870800 86290748 88596226 107863435 172581496 177192452 215726870 221490565 345162992 354384904 431453740 442981130 539317175 708769808 862907480 885962260 1078634350 1107452825 1725814960 1771924520 2157268700 2214905650 3543849040 4314537400 4429811300 5803052803 8629074800 8859622600 11606105606 17719245200 23212211212 29015264015 46424422424 58030528030 92848844848 116061056060 145076320075 232122112120 290152640150 464244224240 580305280300 1160610560600 2321221121200