11211011120000 has 320 divisors, whose sum is σ = 28885951036800. Its totient is φ = 4328217600000.

The previous prime is 11211011119963. The next prime is 11211011120009. The reversal of 11211011120000 is 2111011211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211011120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 964714190 + ... + 964725810.

It is an arithmetic number, because the mean of its divisors is an integer number (90268596990).

Almost surely, 2^{11211011120000} is an apocalyptic number.

11211011120000 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 11211011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442975518400).

11211011120000 is an abundant number, since it is smaller than the sum of its proper divisors (17674939916800).

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

11211011120000 is an equidigital number, since it uses as much as digits as its factorization.

11211011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11211011120000 its reverse (2111011211), we get a palindrome (11213122131211).

The spelling of 11211011120000 in words is "eleven trillion, two hundred eleven billion, eleven million, one hundred twenty thousand".