11011211200002 has 192 divisors, whose sum is σ = 24171614438400. Its totient is φ = 3342353414400.

The previous prime is 11011211199953. The next prime is 11011211200009. The reversal of 11011211200002 is 20000211211011.

It is not an unprimeable number, because it can be changed into a prime (11011211200009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19284082377 + ... + 19284082947.

It is an arithmetic number, because the mean of its divisors is an integer number (125893825200).

Almost surely, 2^{11011211200002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011211200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085807219200).

11011211200002 is an abundant number, since it is smaller than the sum of its proper divisors (13160403238398).

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

11011211200002 is a wasteful number, since it uses less digits than its factorization.

11011211200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1436 counting only the distinct ones).

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

Adding to 11011211200002 its reverse (20000211211011), we get a palindrome (31011422411013).

The spelling of 11011211200002 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred thousand, two".