1122010011200 has 168 divisors, whose sum is σ = 2985568989480. Its totient is φ = 412559769600.

The previous prime is 1122010011193. The next prime is 1122010011203. The reversal of 1122010011200 is 21100102211.

It can be written as a sum of positive squares in 12 ways, for example, as 56457561664 + 1065552449536 = 237608^2 + 1032256^2 .

It is not an unprimeable number, because it can be changed into a prime (1122010011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4900886 + ... + 5124714.

It is an arithmetic number, because the mean of its divisors is an integer number (17771243985).

Almost surely, 2^{1122010011200} is an apocalyptic number.

1122010011200 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 1122010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492784494740).

1122010011200 is an abundant number, since it is smaller than the sum of its proper divisors (1863558978280).

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

1122010011200 is a wasteful number, since it uses less digits than its factorization.

1122010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224105 (or 224090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1122010011200 its reverse (21100102211), we get a palindrome (1143110113411).

The spelling of 1122010011200 in words is "one trillion, one hundred twenty-two billion, ten million, eleven thousand, two hundred".