122212111221200 has 360 divisors, whose sum is σ = 401263514678880. Its totient is φ = 35161925299200.

The previous prime is 122212111221199. The next prime is 122212111221209. The reversal of 122212111221200 is 2122111212221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212111221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18998990 + ... + 24604589.

It is an arithmetic number, because the mean of its divisors is an integer number (1114620874108).

Almost surely, 2^{122212111221200} is an apocalyptic number.

122212111221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212111221200 is an abundant number, since it is smaller than the sum of its proper divisors (279051403457680).

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

122212111221200 is a wasteful number, since it uses less digits than its factorization.

122212111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603635 (or 43603617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122212111221200 its reverse (2122111212221), we get a palindrome (124334222433421).

The spelling of 122212111221200 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".