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120022023122001 = 327111325961284747
BaseRepresentation
bin11011010010100011001110…
…000011011010110001010001
3120201221222211011011112211200
4123102203032003122301101
5111212420100404401001
61103133204540501413
734165206422504010
oct3322431603326121
9521858734145750
10120022023122001
11352740660a2790
12115650a484a869
1351c8049cb6100
14218d14dd0ca77
15dd20acd00086
hex6d28ce0dac51

120022023122001 has 288 divisors, whose sum is σ = 241918620503040. Its totient is φ = 55649847052800.

The previous prime is 120022023121963. The next prime is 120022023122093. The reversal of 120022023122001 is 100221320220021.

120022023122001 is a `hidden beast` number, since 1 + 200 + 220 + 23 + 1 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 120022023122001 - 210 = 120022023120977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120022023162001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 421361710 + ... + 421646456.

It is an arithmetic number, because the mean of its divisors is an integer number (839995210080).

Almost surely, 2120022023122001 is an apocalyptic number.

120022023122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120022023122001 is an abundant number, since it is smaller than the sum of its proper divisors (121896597381039).

120022023122001 is a wasteful number, since it uses less digits than its factorization.

120022023122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284917 (or 284901 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120022023122001 its reverse (100221320220021), we get a palindrome (220243343342022).

The spelling of 120022023122001 in words is "one hundred twenty trillion, twenty-two billion, twenty-three million, one hundred twenty-two thousand, one".