122332123200 has 672 divisors, whose sum is σ = 495973811200. Its totient is φ = 25769041920.

The previous prime is 122332123169. The next prime is 122332123273. The reversal of 122332123200 is 2321233221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23618211 + ... + 23623389.

Almost surely, 2^122332123200 is an apocalyptic number.

122332123200 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 122332123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247986905600).

122332123200 is an abundant number, since it is smaller than the sum of its proper divisors (373641688000).

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

122332123200 is a wasteful number, since it uses less digits than its factorization.

122332123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122332123200 its reverse (2321233221), we get a palindrome (124653356421).

The spelling of 122332123200 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred twenty-three thousand, two hundred".