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210012201220000 = 255437272817443
BaseRepresentation
bin101111110000000101000110…
…101001101111011110100000
31000112120222012101121111200211
4233300011012221233132200
5210011314442003020000
62022354135013023504
762143611060434104
oct5760050651573640
91015528171544624
10210012201220000
1160a09746644563
121b679931324b94
1390250b11725ba
1439c090538d904
151942d7524d7ba
hexbf0146a6f7a0

210012201220000 has 120 divisors (see below), whose sum is σ = 516800326908096. Its totient is φ = 83982311136000.

The previous prime is 210012201219979. The next prime is 210012201220039. The reversal of 210012201220000 is 22102210012.

It is a happy number.

210012201220000 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-2 number, since 2×2100122012200002 (a number of 29 digits) contains 22 as substring.

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, 73131279 + ... + 75948721.

Almost surely, 2210012201220000 is an apocalyptic number.

210012201220000 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 210012201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258400163454048).

210012201220000 is an abundant number, since it is smaller than the sum of its proper divisors (306788125688096).

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

210012201220000 is an equidigital number, since it uses as much as digits as its factorization.

210012201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821200 (or 2821177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210012201220000 its reverse (22102210012), we get a palindrome (210034303430012).

The spelling of 210012201220000 in words is "two hundred ten trillion, twelve billion, two hundred one million, two hundred 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 3727 4000 5000 7454 10000 14908 18635 20000 29816 37270 59632 74540 93175 119264 149080 186350 298160 372700 465875 596320 745400 931750 1490800 1863500 2329375 2817443 2981600 3727000 4658750 5634886 7454000 9317500 11269772 14087215 14908000 18635000 22539544 28174430 37270000 45079088 56348860 70436075 74540000 90158176 112697720 140872150 225395440 281744300 352180375 450790880 563488600 704360750 1126977200 1408721500 1760901875 2253954400 2817443000 3521803750 5634886000 7043607500 10500610061 11269772000 14087215000 21001220122 28174430000 42002440244 52503050305 56348860000 84004880488 105006100610 168009760976 210012201220 262515251525 336019521952 420024402440 525030503050 840048804880 1050061006100 1312576257625 1680097609760 2100122012200 2625152515250 4200244024400 5250305030500 6562881288125 8400488048800 10500610061000 13125762576250 21001220122000 26251525152500 42002440244000 52503050305000 105006100610000 210012201220000