122172744200 has 96 divisors (see below), whose sum is σ = 307488001800. Its totient is φ = 44876021760.

The previous prime is 122172744191. The next prime is 122172744203. The reversal of 122172744200 is 2447271221.

It can be written as a sum of positive squares in 12 ways, for example, as 8454066916 + 113718677284 = 91946^2 + 337222^2 .

It is not an unprimeable number, because it can be changed into a prime (122172744203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380066 + ... + 623534.

Almost surely, 2^122172744200 is an apocalyptic number.

122172744200 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 122172744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153744000900).

122172744200 is an abundant number, since it is smaller than the sum of its proper divisors (185315257600).

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

122172744200 is a wasteful number, since it uses less digits than its factorization.

122172744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243691 (or 243682 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 122172744200 in words is "one hundred twenty-two billion, one hundred seventy-two million, seven hundred forty-four thousand, two hundred".