1122021101200 has 240 divisors, whose sum is σ = 2878318008000. Its totient is φ = 419612497920.

The previous prime is 1122021101143. The next prime is 1122021101203. The reversal of 1122021101200 is 21011202211.

It is not an unprimeable number, because it can be changed into a prime (1122021101203) 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 47 ways as a sum of consecutive naturals, for example, 45842566 + ... + 45867034.

It is an arithmetic number, because the mean of its divisors is an integer number (11992991700).

Almost surely, 2^{1122021101200} is an apocalyptic number.

1122021101200 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 1122021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439159004000).

1122021101200 is an abundant number, since it is smaller than the sum of its proper divisors (1756296906800).

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

1122021101200 is a wasteful number, since it uses less digits than its factorization.

1122021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642 (or 24631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1122021101200 its reverse (21011202211), we get a palindrome (1143032303411).

It can be divided in two parts, 1122021 and 101200, that added together give a palindrome (1223221).

The spelling of 1122021101200 in words is "one trillion, one hundred twenty-two billion, twenty-one million, one hundred one thousand, two hundred".