11201211112000 has 448 divisors, whose sum is σ = 34460608605696. Its totient is φ = 3511843430400.

The previous prime is 11201211111997. The next prime is 11201211112037. The reversal of 11201211112000 is 21111210211.

It is a happy number.

11201211112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77824102 + ... + 77967898.

It is an arithmetic number, because the mean of its divisors is an integer number (76921001352).

Almost surely, 2^{11201211112000} is an apocalyptic number.

11201211112000 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 11201211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230304302848).

11201211112000 is an abundant number, since it is smaller than the sum of its proper divisors (23259397493696).

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

11201211112000 is a wasteful number, since it uses less digits than its factorization.

11201211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143951 (or 143931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201211112000 its reverse (21111210211), we get a palindrome (11222322322211).

The spelling of 11201211112000 in words is "eleven trillion, two hundred one billion, two hundred eleven million, one hundred twelve thousand".