122343313200 has 240 divisors, whose sum is σ = 405274703616. Its totient is φ = 31530470400.

The previous prime is 122343313129. The next prime is 122343313207. The reversal of 122343313200 is 2313343221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122343313207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4246845 + ... + 4275555.

Almost surely, 2^122343313200 is an apocalyptic number.

122343313200 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 122343313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202637351808).

122343313200 is an abundant number, since it is smaller than the sum of its proper divisors (282931390416).

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

122343313200 is a wasteful number, since it uses less digits than its factorization.

122343313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122343313200 its reverse (2313343221), we get a palindrome (124656656421).

The spelling of 122343313200 in words is "one hundred twenty-two billion, three hundred forty-three million, three hundred thirteen thousand, two hundred".