122102323200064 has 189 divisors, whose sum is σ = 253074502569693. Its totient is φ = 58450037683200.

The previous prime is 122102323200061. The next prime is 122102323200089. The reversal of 122102323200064 is 460002323201221.

The square root of 122102323200064 is 11049992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5883574169664 + 116218749030400 = 2425608^2 + 10780480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102323200061) 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 26 ways as a sum of consecutive naturals, for example, 213839444899 + ... + 213839445469.

Almost surely, 2^{122102323200064} is an apocalyptic number.

122102323200064 is the 11049992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102323200064

122102323200064 is an abundant number, since it is smaller than the sum of its proper divisors (130972179369629).

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

122102323200064 is an frugal number, since it uses more digits than its factorization.

122102323200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 122102323200064 its reverse (460002323201221), we get a palindrome (582104646401285).

The spelling of 122102323200064 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred twenty-three million, two hundred thousand, sixty-four".