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120022122201012 = 22323333947838917
BaseRepresentation
bin11011010010100011010011…
…111101010111111110110100
3120201222000002001121021200200
4123102203103331113332310
5111212420301240413022
61103133222440240500
734165212034612053
oct3322432375277664
9521860061537620
10120022122201012
1135274107015269
1211565111a70130
1351c8064696645
14218d15d14039a
15dd20b6871bac
hex6d28d3f57fb4

120022122201012 has 18 divisors (see below), whose sum is σ = 303389253341538. Its totient is φ = 40007374066992.

The previous prime is 120022122200957. The next prime is 120022122201031. The reversal of 120022122201012 is 210102221220021.

It is a happy number.

120022122201012 is a `hidden beast` number, since 1 + 200 + 221 + 2 + 220 + 10 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106016759045136 + 14005363155876 = 10296444^2 + 3742374^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1666973919423 + ... + 1666973919494.

Almost surely, 2120022122201012 is an apocalyptic number.

120022122201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022122201012 is an abundant number, since it is smaller than the sum of its proper divisors (183367131140526).

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

120022122201012 is a wasteful number, since it uses less digits than its factorization.

120022122201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333947838927 (or 3333947838922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120022122201012 its reverse (210102221220021), we get a palindrome (330124343421033).

The spelling of 120022122201012 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3333947838917 6667895677834 10001843516751 13335791355668 20003687033502 30005530550253 40007374067004 60011061100506 120022122201012