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120210200112 = 24383181166703
BaseRepresentation
bin110111111110100010…
…1100001011000110000
3102111021122200212211210
41233331011201120300
53432142302400422
6131120201440120
711453630561502
oct1577505413060
9374248625753
10120210200112
1146a87584622
121b36a1a0040
13b449903332
145b65221d72
1531d867710c
hex1bfd161630

120210200112 has 80 divisors (see below), whose sum is σ = 316022773248. Its totient is φ = 39368344320.

The previous prime is 120210200083. The next prime is 120210200119. The reversal of 120210200112 is 211002012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120210200119) 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 15 ways as a sum of consecutive naturals, for example, 637753 + ... + 804455.

Almost surely, 2120210200112 is an apocalyptic number.

120210200112 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 120210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158011386624).

120210200112 is an abundant number, since it is smaller than the sum of its proper divisors (195812573136).

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

120210200112 is a wasteful number, since it uses less digits than its factorization.

120210200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166978 (or 166972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120210200112 its reverse (211002012021), we get a palindrome (331212212133).

The spelling of 120210200112 in words is "one hundred twenty billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 181 249 332 362 498 543 664 724 996 1086 1328 1448 1992 2172 2896 3984 4344 8688 15023 30046 45069 60092 90138 120184 166703 180276 240368 333406 360552 500109 666812 721104 1000218 1333624 2000436 2667248 4000872 8001744 13836349 27672698 30173243 41509047 55345396 60346486 83018094 90519729 110690792 120692972 166036188 181039458 221381584 241385944 332072376 362078916 482771888 664144752 724157832 1448315664 2504379169 5008758338 7513137507 10017516676 15026275014 20035033352 30052550028 40070066704 60105100056 120210200112