122542400 has 168 divisors, whose sum is σ = 330708000. Its totient is φ = 44513280.

The previous prime is 122542339. The next prime is 122542421. The reversal of 122542400 is 4245221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 881531 + ... + 881669.

It is an arithmetic number, because the mean of its divisors is an integer number (1968500).

Almost surely, 2^122542400 is an apocalyptic number.

122542400 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 122542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354000).

122542400 is an abundant number, since it is smaller than the sum of its proper divisors (208165600).

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

122542400 is a wasteful number, since it uses less digits than its factorization.

122542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122542400 is about 11069.8870816282. The cubic root of 122542400 is about 496.7014874816.

Adding to 122542400 its reverse (4245221), we get a palindrome (126787621).

The spelling of 122542400 in words is "one hundred twenty-two million, five hundred forty-two thousand, four hundred".