11033311200000 has 432 divisors, whose sum is σ = 37695813876000. Its totient is φ = 2862673920000.

The previous prime is 11033311199957. The next prime is 11033311200019. The reversal of 11033311200000 is 211333011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 88737876 + ... + 88862124.

Almost surely, 2^{11033311200000} is an apocalyptic number.

11033311200000 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 11033311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847906938000).

11033311200000 is an abundant number, since it is smaller than the sum of its proper divisors (26662502676000).

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

11033311200000 is an frugal number, since it uses more digits than its factorization.

11033311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124330 (or 124296 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11033311200000 its reverse (211333011), we get a palindrome (11033522533011).

The spelling of 11033311200000 in words is "eleven trillion, thirty-three billion, three hundred eleven million, two hundred thousand".