11003031120000 has 640 divisors, whose sum is σ = 37066422697920. Its totient is φ = 2890598400000.

The previous prime is 11003031119999. The next prime is 11003031120013. The reversal of 11003031120000 is 2113030011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 10776719490 + ... + 10776720510.

Almost surely, 2^{11003031120000} is an apocalyptic number.

11003031120000 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 11003031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533211348960).

11003031120000 is an abundant number, since it is smaller than the sum of its proper divisors (26063391577920).

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

11003031120000 is an equidigital number, since it uses as much as digits as its factorization.

11003031120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11003031120000 its reverse (2113030011), we get a palindrome (11005144150011).

The spelling of 11003031120000 in words is "eleven trillion, three billion, thirty-one million, one hundred twenty thousand".