122272516300 has 144 divisors (see below), whose sum is σ = 295996055040. Its totient is φ = 43460064000.

The previous prime is 122272516291. The next prime is 122272516339. The reversal of 122272516300 is 3615272221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75429490 + ... + 75431110.

It is an arithmetic number, because the mean of its divisors is an integer number (2055528160).

Almost surely, 2^122272516300 is an apocalyptic number.

122272516300 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 122272516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147998027520).

122272516300 is an abundant number, since it is smaller than the sum of its proper divisors (173723538740).

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

122272516300 is a wasteful number, since it uses less digits than its factorization.

122272516300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 122272516300 its reverse (3615272221), we get a palindrome (125887788521).

The spelling of 122272516300 in words is "one hundred twenty-two billion, two hundred seventy-two million, five hundred sixteen thousand, three hundred".