1122121111200 has 864 divisors, whose sum is σ = 4051900661760. Its totient is φ = 268940390400.

The previous prime is 1122121111157. The next prime is 1122121111201. The reversal of 1122121111200 is 21111212211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122121111200.

It is not an unprimeable number, because it can be changed into a prime (1122121111201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2342632561 + ... + 2342633039.

It is an arithmetic number, because the mean of its divisors is an integer number (4689699840).

Almost surely, 2^{1122121111200} is an apocalyptic number.

1122121111200 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 1122121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025950330880).

1122121111200 is an abundant number, since it is smaller than the sum of its proper divisors (2929779550560).

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

1122121111200 is a wasteful number, since it uses less digits than its factorization.

1122121111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122121111200 its reverse (21111212211), we get a palindrome (1143232323411).

It can be divided in two parts, 1122121 and 111200, that added together give a palindrome (1233321).

The spelling of 1122121111200 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".