122132302442200 has 96 divisors (see below), whose sum is σ = 287822975650560. Its totient is φ = 48189730217600.

The previous prime is 122132302442197. The next prime is 122132302442203. The reversal of 122132302442200 is 2244203231221.

It is an interprime number because it is at equal distance from previous prime (122132302442197) and next prime (122132302442203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132302442203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5054445 + ... + 16425955.

It is an arithmetic number, because the mean of its divisors is an integer number (2998155996360).

Almost surely, 2^{122132302442200} is an apocalyptic number.

122132302442200 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 122132302442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143911487825280).

122132302442200 is an abundant number, since it is smaller than the sum of its proper divisors (165690673208360).

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

122132302442200 is a wasteful number, since it uses less digits than its factorization.

122132302442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372257 (or 11372248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 122132302442200 its reverse (2244203231221), we get a palindrome (124376505673421).

The spelling of 122132302442200 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred two million, four hundred forty-two thousand, two hundred".