Search a number
-
+
120222322200123 = 31113793547322953
BaseRepresentation
bin11011010101011101110000…
…110011110000111000111011
3120202200010211100012222101120
4123111131300303300320323
5111224210303440400443
61103405212233120323
734215530134540623
oct3325356063607073
9522603740188346
10120222322200123
1135341000768790
1211597a845590a3
135210bbb26c590
142198b11a03883
15dd73d2650083
hex6d5770cf0e3b

120222322200123 has 32 divisors (see below), whose sum is σ = 190704082007040. Its totient is φ = 66405885661440.

The previous prime is 120222322200107. The next prime is 120222322200151. The reversal of 120222322200123 is 321002223222021.

It is not a de Polignac number, because 120222322200123 - 24 = 120222322200107 is a prime.

It is a super-2 number, since 2×1202223222001232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120222322200093 and 120222322200102.

It is not an unprimeable number, because it can be changed into a prime (120222322200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773627586 + ... + 1773695367.

It is an arithmetic number, because the mean of its divisors is an integer number (5959502562720).

Almost surely, 2120222322200123 is an apocalyptic number.

120222322200123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120222322200123 is a deficient number, since it is larger than the sum of its proper divisors (70481759806917).

120222322200123 is a wasteful number, since it uses less digits than its factorization.

120222322200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547323059.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120222322200123 its reverse (321002223222021), we get a palindrome (441224545422144).

The spelling of 120222322200123 in words is "one hundred twenty trillion, two hundred twenty-two billion, three hundred twenty-two million, two hundred thousand, one hundred twenty-three".

Divisors: 1 3 11 13 33 39 79 143 237 429 869 1027 2607 3081 11297 33891 3547322953 10641968859 39020552483 46115198389 117061657449 138345595167 280238513287 507267182279 840715539861 1521801546837 3082623646157 3643100672731 9247870938471 10929302018193 40074107400041 120222322200123