Search a number
-
+
122200301300 = 225273111631987
BaseRepresentation
bin111000111001110110…
…1001001111011110100
3102200102100102111110012
41301303231021323310
54000231234120200
6132045452315352
711554144265000
oct1616355117364
9380370374405
10122200301300
1147908980050
121b824772b58
13b6a5cc2bbc
145cb3661700
1532a3231a35
hex1c73b49ef4

122200301300 has 288 divisors, whose sum is σ = 339594931200. Its totient is φ = 37835683200.

The previous prime is 122200301287. The next prime is 122200301309. The reversal of 122200301300 is 3103002221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200301309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61498907 + ... + 61500893.

Almost surely, 2122200301300 is an apocalyptic number.

122200301300 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 122200301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169797465600).

122200301300 is an abundant number, since it is smaller than the sum of its proper divisors (217394629900).

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

122200301300 is a wasteful number, since it uses less digits than its factorization.

122200301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 122200301300 its reverse (3103002221), we get a palindrome (125303303521).

The spelling of 122200301300 in words is "one hundred twenty-two billion, two hundred million, three hundred one thousand, three hundred".