11211010012200 has 192 divisors, whose sum is σ = 36039977400960. Its totient is φ = 2880561208320.

The previous prime is 11211010012151. The next prime is 11211010012201. The reversal of 11211010012200 is 221001011211.

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

It is not an unprimeable number, because it can be changed into a prime (11211010012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164859 + ... + 4738058.

It is an arithmetic number, because the mean of its divisors is an integer number (187708215630).

Almost surely, 2^{11211010012200} is an apocalyptic number.

11211010012200 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 11211010012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019988700480).

11211010012200 is an abundant number, since it is smaller than the sum of its proper divisors (24828967388760).

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

11211010012200 is a wasteful number, since it uses less digits than its factorization.

11211010012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903076 (or 4903067 counting only the distinct ones).

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

Adding to 11211010012200 its reverse (221001011211), we get a palindrome (11432011023411).

The spelling of 11211010012200 in words is "eleven trillion, two hundred eleven billion, ten million, twelve thousand, two hundred".