11121211011200 has 96 divisors (see below), whose sum is σ = 27476554187460. Its totient is φ = 4447887298560.

The previous prime is 11121211011193. The next prime is 11121211011241. The reversal of 11121211011200 is 211011212111.

It can be written as a sum of positive squares in 6 ways, for example, as 5416641807424 + 5704569203776 = 2327368^2 + 2388424^2 .

It is a super-2 number, since 2×11121211011200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24004142 + ... + 24463058.

Almost surely, 2^{11121211011200} is an apocalyptic number.

11121211011200 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 11121211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738277093730).

11121211011200 is an abundant number, since it is smaller than the sum of its proper divisors (16355343176260).

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

11121211011200 is an equidigital number, since it uses as much as digits as its factorization.

11121211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466514 (or 466497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121211011200 its reverse (211011212111), we get a palindrome (11332222223311).

The spelling of 11121211011200 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, eleven thousand, two hundred".