122214400 has 288 divisors, whose sum is σ = 389975040. Its totient is φ = 36864000.

The previous prime is 122214361. The next prime is 122214401. The reversal of 122214400 is 4412221.

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 (122214401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942385 + ... + 3942415.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^122214400 is an apocalyptic number.

122214400 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 122214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

122214400 is an abundant number, since it is smaller than the sum of its proper divisors (267760640).

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

122214400 is a wasteful number, since it uses less digits than its factorization.

122214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122214400 is about 11055.0621888798. The cubic root of 122214400 is about 496.2579303637.

Adding to 122214400 its reverse (4412221), we get a palindrome (126626621).

The spelling of 122214400 in words is "one hundred twenty-two million, two hundred fourteen thousand, four hundred".