1122011003300 has 288 divisors, whose sum is σ = 2936242068480. Its totient is φ = 367344806400.

The previous prime is 1122011003293. The next prime is 1122011003329. The reversal of 1122011003300 is 33001102211.

It is a super-2 number, since 2×1122011003300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75462467 + ... + 75477333.

It is an arithmetic number, because the mean of its divisors is an integer number (10195284960).

Almost surely, 2^{1122011003300} is an apocalyptic number.

1122011003300 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 1122011003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468121034240).

1122011003300 is an abundant number, since it is smaller than the sum of its proper divisors (1814231065180).

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

1122011003300 is a wasteful number, since it uses less digits than its factorization.

1122011003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15084 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1122011003300 its reverse (33001102211), we get a palindrome (1155012105511).

The spelling of 1122011003300 in words is "one trillion, one hundred twenty-two billion, eleven million, three thousand, three hundred".