Search a number
-
+
120203323322112 = 28352663725603
BaseRepresentation
bin11011010101001100000100…
…011000110010111100000000
3120202121022210021110222100000
4123111030010120302330000
5111223402401232301422
61103352351105200000
734214255260000002
oct3325140430627400
9522538707428300
10120203323322112
1135333a41359508
1211594261930000
13520c181105724
142197c2c67c372
15dd6b6e737cac
hex6d5304632f00

120203323322112 has 216 divisors, whose sum is σ = 359547416452224. Its totient is φ = 40052673137664.

The previous prime is 120203323322083. The next prime is 120203323322119. The reversal of 120203323322112 is 211223323302021.

120203323322112 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 3 + 323 + 322 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120203323322119) 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 23 ways as a sum of consecutive naturals, for example, 165297103 + ... + 166022705.

It is an arithmetic number, because the mean of its divisors is an integer number (1664571372464).

Almost surely, 2120203323322112 is an apocalyptic number.

120203323322112 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 120203323322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773708226112).

120203323322112 is an abundant number, since it is smaller than the sum of its proper divisors (239344093130112).

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

120203323322112 is an frugal number, since it uses more digits than its factorization.

120203323322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728297 (or 728271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 120203323322112 its reverse (211223323302021), we get a palindrome (331426646624133).

The spelling of 120203323322112 in words is "one hundred twenty trillion, two hundred three billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred twelve".