122123212200 has 144 divisors (see below), whose sum is σ = 447415113600. Its totient is φ = 29605622400.

The previous prime is 122123212187. The next prime is 122123212201. The reversal of 122123212200 is 2212321221.

122123212200 is a `hidden beast` number, since 1 + 221 + 232 + 12 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122123212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3064120 + ... + 3103719.

It is an arithmetic number, because the mean of its divisors is an integer number (3107049400).

Almost surely, 2^122123212200 is an apocalyptic number.

122123212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123212200 is an abundant number, since it is smaller than the sum of its proper divisors (325291901400).

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

122123212200 is a wasteful number, since it uses less digits than its factorization.

122123212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167872 (or 6167860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122123212200 its reverse (2212321221), we get a palindrome (124335533421).

The spelling of 122123212200 in words is "one hundred twenty-two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred".