122212121121200 has 120 divisors (see below), whose sum is σ = 323478215484336. Its totient is φ = 44000763520000.

The previous prime is 122212121121193. The next prime is 122212121121257. The reversal of 122212121121200 is 2121121212221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137057987 + ... + 137946786.

Almost surely, 2^{122212121121200} is an apocalyptic number.

122212121121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212121121200 is an abundant number, since it is smaller than the sum of its proper divisors (201266094363136).

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

122212121121200 is a wasteful number, since it uses less digits than its factorization.

122212121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275004903 (or 275004892 counting only the distinct ones).

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

Adding to 122212121121200 its reverse (2121121212221), we get a palindrome (124333242333421).

The spelling of 122212121121200 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".