1122221221200 has 720 divisors, whose sum is σ = 4209425400960. Its totient is φ = 275996160000.

The previous prime is 1122221221171. The next prime is 1122221221349. The reversal of 1122221221200 is 21221222211.

It is a happy number.

1122221221200 is a `hidden beast` number, since 1 + 1 + 22 + 221 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 421411069 + ... + 421413731.

It is an arithmetic number, because the mean of its divisors is an integer number (5846424168).

Almost surely, 2^{1122221221200} is an apocalyptic number.

1122221221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104712700480).

1122221221200 is an abundant number, since it is smaller than the sum of its proper divisors (3087204179760).

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

1122221221200 is a wasteful number, since it uses less digits than its factorization.

1122221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2854 counting only the distinct ones).

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

Adding to 1122221221200 its reverse (21221222211), we get a palindrome (1143442443411).

The spelling of 1122221221200 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".