11000211120000 has 960 divisors, whose sum is σ = 42981791424000. Its totient is φ = 2689251840000.

The previous prime is 11000211119999. The next prime is 11000211120023. The reversal of 11000211120000 is 2111200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 424067031 + ... + 424092969.

It is an arithmetic number, because the mean of its divisors is an integer number (44772699400).

Almost surely, 2^{11000211120000} is an apocalyptic number.

11000211120000 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 11000211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490895712000).

11000211120000 is an abundant number, since it is smaller than the sum of its proper divisors (31981580304000).

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

11000211120000 is a wasteful number, since it uses less digits than its factorization.

11000211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26029 (or 25999 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000211120000 its reverse (2111200011), we get a palindrome (11002322320011).

It can be divided in two parts, 1 and 1000211120000, that added together give a palindrome (1000211120001).

The spelling of 11000211120000 in words is "eleven trillion, two hundred eleven million, one hundred twenty thousand".