11211012120000 has 2240 divisors, whose sum is σ = 47971441824768. Its totient is φ = 2242560000000.

The previous prime is 11211012119969. The next prime is 11211012120019. The reversal of 11211012120000 is 2121011211.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 38262839854 + ... + 38262840146.

Almost surely, 2^{11211012120000} is an apocalyptic number.

11211012120000 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 11211012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985720912384).

11211012120000 is an abundant number, since it is smaller than the sum of its proper divisors (36760429704768).

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

11211012120000 is a wasteful number, since it uses less digits than its factorization.

11211012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

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

Adding to 11211012120000 its reverse (2121011211), we get a palindrome (11213133131211).

The spelling of 11211012120000 in words is "eleven trillion, two hundred eleven billion, twelve million, one hundred twenty thousand".