122018400 has 360 divisors, whose sum is σ = 510436080. Its totient is φ = 27786240.

The previous prime is 122018389. The next prime is 122018441. The reversal of 122018400 is 4810221.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 453466 + ... + 453734.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^122018400 is an apocalyptic number.

122018400 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 122018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

122018400 is an abundant number, since it is smaller than the sum of its proper divisors (388417680).

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

122018400 is a wasteful number, since it uses less digits than its factorization.

122018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122018400 is about 11046.1939146477. The cubic root of 122018400 is about 495.9924990194.

Adding to 122018400 its reverse (4810221), we get a palindrome (126828621).

The spelling of 122018400 in words is "one hundred twenty-two million, eighteen thousand, four hundred".