122344000 has 112 divisors (see below), whose sum is σ = 311206896. Its totient is φ = 47616000.

The previous prime is 122343989. The next prime is 122344003. The reversal of 122344000 is 443221.

It can be written as a sum of positive squares in 8 ways, for example, as 70963776 + 51380224 = 8424^2 + 7168^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344003) 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 15 ways as a sum of consecutive naturals, for example, 327814 + ... + 328186.

It is an arithmetic number, because the mean of its divisors is an integer number (2778633).

Almost surely, 2^122344000 is an apocalyptic number.

122344000 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 122344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155603448).

122344000 is an abundant number, since it is smaller than the sum of its proper divisors (188862896).

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

122344000 is an equidigital number, since it uses as much as digits as its factorization.

122344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122344000 is about 11060.9222038671. The cubic root of 122344000 is about 496.4332842425.

Adding to 122344000 its reverse (443221), we get a palindrome (122787221).

The spelling of 122344000 in words is "one hundred twenty-two million, three hundred forty-four thousand".