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120010211012202 = 237371327253922921
BaseRepresentation
bin11011010010011000001101…
…111111110010111001101010
3120201220212022221121012101120
4123102120031333302321222
5111212221403004342302
61103123532502200110
734164310622310060
oct3322301577627152
9521825287535346
10120010211012202
113526a054502875
1211562948a23036
1351c6bb6a58924
14218c74d240030
15dd1b1ace59bc
hex6d260dff2e6a

120010211012202 has 128 divisors (see below), whose sum is σ = 282058459422720. Its totient is φ = 33322187358720.

The previous prime is 120010211012191. The next prime is 120010211012207. The reversal of 120010211012202 is 202210112010021.

It is not an unprimeable number, because it can be changed into a prime (120010211012207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5235807702 + ... + 5235830622.

It is an arithmetic number, because the mean of its divisors is an integer number (2203581714240).

Almost surely, 2120010211012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010211012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141029229711360).

120010211012202 is an abundant number, since it is smaller than the sum of its proper divisors (162048248410518).

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

120010211012202 is a wasteful number, since it uses less digits than its factorization.

120010211012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26836.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120010211012202 its reverse (202210112010021), we get a palindrome (322220323022223).

The spelling of 120010211012202 in words is "one hundred twenty trillion, ten billion, two hundred eleven million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1327 1554 2539 2654 3981 5078 7617 7962 9289 15234 17773 18578 22921 27867 35546 45842 49099 53319 55734 68763 93943 98198 106638 137526 147297 160447 187886 281829 294594 320894 343693 481341 563658 657601 687386 848077 962682 1031079 1315202 1696154 1972803 2062158 2544231 3369253 3945606 5088462 5936539 6738506 10107759 11873078 17809617 20215518 23584771 30416167 35619234 47169542 58196419 60832334 70754313 91248501 116392838 124662361 141508626 174589257 182497002 212913169 249324722 349178514 373987083 407374933 425826338 638739507 747974166 814749866 872636527 1125398179 1222124799 1277479014 1745273054 2153267503 2250796358 2444249598 2617909581 3376194537 4306535006 5235819162 6459802509 6752389074 7877787253 12919605018 15072872521 15755574506 23633361759 30145745042 45218617563 47266723518 77226648013 90437235126 154453296026 231679944039 463359888078 540586536091 1081173072182 1621759608273 2857385976481 3243519216546 5714771952962 8572157929443 17144315858886 20001701835367 40003403670734 60005105506101 120010211012202