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120210211212 = 223713521211291
BaseRepresentation
bin110111111110100010…
…1100100000110001100
3102111021122201110001220
41233331011210012030
53432142303224322
6131120202003340
711453630636040
oct1577505440614
9374248643056
10120210211212
1146a875919a3
121b36a1a6550
13b4499083c0
145b65226020
1531d867a55c
hex1bfd16418c

120210211212 has 96 divisors (see below), whose sum is σ = 345883313664. Its totient is φ = 31642790400.

The previous prime is 120210211127. The next prime is 120210211217. The reversal of 120210211212 is 212112012021.

It is a junction number, because it is equal to n+sod(n) for n = 120210211191 and 120210211200.

It is not an unprimeable number, because it can be changed into a prime (120210211217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463287 + ... + 674577.

It is an arithmetic number, because the mean of its divisors is an integer number (3602951184).

Almost surely, 2120210211212 is an apocalyptic number.

120210211212 is a gapful number since it is divisible by the number (12) 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 120210211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172941656832).

120210211212 is an abundant number, since it is smaller than the sum of its proper divisors (225673102452).

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

120210211212 is a wasteful number, since it uses less digits than its factorization.

120210211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211839 (or 211837 counting only the distinct ones).

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

Adding to 120210211212 its reverse (212112012021), we get a palindrome (332322223233).

The spelling of 120210211212 in words is "one hundred twenty billion, two hundred ten million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 521 546 1042 1092 1563 2084 3126 3647 6252 6773 7294 10941 13546 14588 20319 21882 27092 40638 43764 47411 81276 94822 142233 189644 211291 284466 422582 568932 633873 845164 1267746 1479037 2535492 2746783 2958074 4437111 5493566 5916148 8240349 8874222 10987132 16480698 17748444 19227481 32961396 38454962 57682443 76909924 110082611 115364886 220165222 230729772 330247833 440330444 660495666 770578277 1320991332 1431073943 1541156554 2311734831 2862147886 3082313108 4293221829 4623469662 5724295772 8586443658 9246939324 10017517601 17172887316 20035035202 30052552803 40070070404 60105105606 120210211212