Search a number
-
+
122212201320 = 233251145767531
BaseRepresentation
bin111000111010001101…
…0100011001101101000
3102200110011211002012200
41301310122203031220
54000242310420240
6132050555340200
711554350366636
oct1616432431550
9380404732180
10122212201320
1147914668780
121b828751660
13b6a85cb531
145cb507c356
1532a42d2930
hex1c746a3368

122212201320 has 192 divisors, whose sum is σ = 434252370240. Its totient is φ = 29561932800.

The previous prime is 122212201303. The next prime is 122212201327. The reversal of 122212201320 is 23102212221.

122212201320 is a `hidden beast` number, since 1 + 222 + 122 + 0 + 1 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122212201293 and 122212201302.

It is not an unprimeable number, because it can be changed into a prime (122212201327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1775955 + ... + 1843485.

It is an arithmetic number, because the mean of its divisors is an integer number (2261731095).

Almost surely, 2122212201320 is an apocalyptic number.

122212201320 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 122212201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217126185120).

122212201320 is an abundant number, since it is smaller than the sum of its proper divisors (312040168920).

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

122212201320 is a wasteful number, since it uses less digits than its factorization.

122212201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68016 (or 68009 counting only the distinct ones).

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

Adding to 122212201320 its reverse (23102212221), we get a palindrome (145314413541).

The spelling of 122212201320 in words is "one hundred twenty-two billion, two hundred twelve million, two hundred one thousand, three hundred twenty".