122483200576 has 189 divisors, whose sum is σ = 276684055851. Its totient is φ = 53756313600.

The previous prime is 122483200573. The next prime is 122483200603. The reversal of 122483200576 is 675002384221.

The square root of 122483200576 is 349976.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40787841600 + 81695358976 = 201960^2 + 285824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122483200573) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1262713360 + ... + 1262713456.

Almost surely, 2^122483200576 is an apocalyptic number.

122483200576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122483200576 is the 349976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122483200576

122483200576 is an abundant number, since it is smaller than the sum of its proper divisors (154200855275).

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

122483200576 is an frugal number, since it uses more digits than its factorization.

122483200576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

Adding to 122483200576 its reverse (675002384221), we get a palindrome (797485584797).

The spelling of 122483200576 in words is "one hundred twenty-two billion, four hundred eighty-three million, two hundred thousand, five hundred seventy-six".