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120220010000 = 245413191771
BaseRepresentation
bin110111111110110101…
…0111100011000010000
3102111022100011021110222
41233331222330120100
53432202310310000
6131121152012212
711454110136656
oct1577552743020
9374270137428
10120220010000
1146a92074972
121b371531068
13b44b9594bc
145b66656dd6
1531d9463a85
hex1bfdabc610

120220010000 has 100 divisors (see below), whose sum is σ = 293289729744. Its totient is φ = 47720400000.

The previous prime is 120220009999. The next prime is 120220010039. The reversal of 120220010000 is 10022021.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120220010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264115 + ... + 1355885.

Almost surely, 2120220010000 is an apocalyptic number.

120220010000 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 120220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644864872).

120220010000 is an abundant number, since it is smaller than the sum of its proper divisors (173069719744).

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

120220010000 is an equidigital number, since it uses as much as digits as its factorization.

120220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91930 (or 91909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120220010000 its reverse (10022021), we get a palindrome (120230032021).

The spelling of 120220010000 in words is "one hundred twenty billion, two hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 625 655 1000 1048 1250 1310 2000 2096 2500 2620 3275 5000 5240 6550 10000 10480 13100 16375 26200 32750 52400 65500 81875 91771 131000 163750 183542 262000 327500 367084 458855 655000 734168 917710 1310000 1468336 1835420 2294275 3670840 4588550 7341680 9177100 11471375 12022001 18354200 22942750 24044002 36708400 45885500 48088004 57356875 60110005 91771000 96176008 114713750 120220010 183542000 192352016 229427500 240440020 300550025 458855000 480880040 601100050 917710000 961760080 1202200100 1502750125 2404400200 3005500250 4808800400 6011000500 7513750625 12022001000 15027501250 24044002000 30055002500 60110005000 120220010000