122231200 has 288 divisors, whose sum is σ = 388475136. Its totient is φ = 36495360.

The previous prime is 122231189. The next prime is 122231279. The reversal of 122231200 is 2132221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 3.

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 47 ways as a sum of consecutive naturals, for example, 1674364 + ... + 1674436.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 2^122231200 is an apocalyptic number.

122231200 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 122231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

122231200 is an abundant number, since it is smaller than the sum of its proper divisors (266243936).

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

122231200 is a wasteful number, since it uses less digits than its factorization.

122231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 122231200 is about 11055.8219956727. The cubic root of 122231200 is about 496.2806684132.

Adding to 122231200 its reverse (2132221), we get a palindrome (124363421).

The spelling of 122231200 in words is "one hundred twenty-two million, two hundred thirty-one thousand, two hundred".