11211021120000 has 400 divisors, whose sum is σ = 40192568760960. Its totient is φ = 2759632896000.

The previous prime is 11211021119999. The next prime is 11211021120031. The reversal of 11211021120000 is 2112011211.

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 12030841 + ... + 12929159.

Almost surely, 2^{11211021120000} is an apocalyptic number.

11211021120000 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 11211021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096284380480).

11211021120000 is an abundant number, since it is smaller than the sum of its proper divisors (28981547640960).

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

11211021120000 is an frugal number, since it uses more digits than its factorization.

11211021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898373 (or 898342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211021120000 its reverse (2112011211), we get a palindrome (11213133131211).

The spelling of 11211021120000 in words is "eleven trillion, two hundred eleven billion, twenty-one million, one hundred twenty thousand".