11211001111200 has 288 divisors, whose sum is σ = 42150967790400. Its totient is φ = 2557946675200.

The previous prime is 11211001111129. The next prime is 11211001111201. The reversal of 11211001111200 is 211110011211.

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 (11211001111201) 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, 12041175 + ... + 12938774.

It is an arithmetic number, because the mean of its divisors is an integer number (146357527050).

Almost surely, 2^{11211001111200} is an apocalyptic number.

11211001111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211001111200 is an abundant number, since it is smaller than the sum of its proper divisors (30939966679200).

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

11211001111200 is a wasteful number, since it uses less digits than its factorization.

11211001111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980000 (or 24979987 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211001111200 its reverse (211110011211), we get a palindrome (11422111122411).

It can be divided in two parts, 112110011 and 11200, that added together give a palindrome (112121211).

The spelling of 11211001111200 in words is "eleven trillion, two hundred eleven billion, one million, one hundred eleven thousand, two hundred".