1121021101200 has 1440 divisors, whose sum is σ = 4991488246528. Its totient is φ = 209118412800.

The previous prime is 1121021101117. The next prime is 1121021101201. The reversal of 1121021101200 is 21011201211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1121021101201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 488887254 + ... + 488889546.

Almost surely, 2^{1121021101200} is an apocalyptic number.

1121021101200 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 1121021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495744123264).

1121021101200 is an abundant number, since it is smaller than the sum of its proper divisors (3870467145328).

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

1121021101200 is a wasteful number, since it uses less digits than its factorization.

1121021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121021101200 its reverse (21011201211), we get a palindrome (1142032302411).

It can be divided in two parts, 1121021 and 101200, that added together give a palindrome (1222221).

The spelling of 1121021101200 in words is "one trillion, one hundred twenty-one billion, twenty-one million, one hundred one thousand, two hundred".