122442400 has 72 divisors (see below), whose sum is σ = 306285084. Its totient is φ = 47769600.

The previous prime is 122442391. The next prime is 122442443. The reversal of 122442400 is 4244221.

It can be written as a sum of positive squares in 6 ways, for example, as 17338896 + 105103504 = 4164^2 + 10252^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30934 + ... + 34666.

Almost surely, 2^122442400 is an apocalyptic number.

122442400 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 122442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153142542).

122442400 is an abundant number, since it is smaller than the sum of its proper divisors (183842684).

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

122442400 is a wasteful number, since it uses less digits than its factorization.

122442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 122442400 is about 11065.3694018772. The cubic root of 122442400 is about 496.5663406103.

Adding to 122442400 its reverse (4244221), we get a palindrome (126686621).

The spelling of 122442400 in words is "one hundred twenty-two million, four hundred forty-two thousand, four hundred".