122212110121200 has 180 divisors, whose sum is σ = 462665421890568. Its totient is φ = 29627178201600.

The previous prime is 122212110121193. The next prime is 122212110121201. The reversal of 122212110121200 is 2121011212221.

122212110121200 is a `hidden beast` number, since 1 + 22 + 212 + 110 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212110121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1543042599 + ... + 1543121798.

Almost surely, 2^{122212110121200} is an apocalyptic number.

122212110121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212110121200 is an abundant number, since it is smaller than the sum of its proper divisors (340453311769368).

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

122212110121200 is a wasteful number, since it uses less digits than its factorization.

122212110121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086164432 (or 3086164418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122212110121200 its reverse (2121011212221), we get a palindrome (124333121333421).

The spelling of 122212110121200 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred ten million, one hundred twenty-one thousand, two hundred".