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120010001220 = 223352389151719
BaseRepresentation
bin110111111000100100…
…1110100101101000100
3102110202200222201121000
41233301021310231010
53431240030014340
6131044250453300
711445650115324
oct1576111645504
9373680881530
10120010001220
114699457619a
121b313134230
13b4172a9655
145b467cb284
1531c5ccdd30
hex1bf1274b44

120010001220 has 384 divisors, whose sum is σ = 397135872000. Its totient is φ = 30025036800.

The previous prime is 120010001081. The next prime is 120010001227. The reversal of 120010001220 is 22100010021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120010001227) 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 127 ways as a sum of consecutive naturals, for example, 166912021 + ... + 166912739.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208000).

Almost surely, 2120010001220 is an apocalyptic number.

120010001220 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 120010001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936000).

120010001220 is an abundant number, since it is smaller than the sum of its proper divisors (277125870780).

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

120010001220 is a wasteful number, since it uses less digits than its factorization.

120010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120010001220 its reverse (22100010021), we get a palindrome (142110011241).

The spelling of 120010001220 in words is "one hundred twenty billion, ten million, one thousand, two hundred twenty".