1200212221122 has 128 divisors (see below), whose sum is σ = 2797618176000. Its totient is φ = 380964254400.

The previous prime is 1200212221027. The next prime is 1200212221123. The reversal of 1200212221122 is 2211222120021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200212221095 and 1200212221104.

It is not an unprimeable number, because it can be changed into a prime (1200212221123) 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 63 ways as a sum of consecutive naturals, for example, 26666097 + ... + 26711067.

It is an arithmetic number, because the mean of its divisors is an integer number (21856392000).

Almost surely, 2^{1200212221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200212221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398809088000).

1200212221122 is an abundant number, since it is smaller than the sum of its proper divisors (1597405954878).

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

1200212221122 is a wasteful number, since it uses less digits than its factorization.

1200212221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45269 (or 45263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1200212221122 its reverse (2211222120021), we get a palindrome (3411434341143).

The spelling of 1200212221122 in words is "one trillion, two hundred billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".