11201213101200 has 60 divisors (see below), whose sum is σ = 35881219304688. Its totient is φ = 2986990160000.

The previous prime is 11201213101193. The next prime is 11201213101201. The reversal of 11201213101200 is 210131210211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201213101200.

It is not an unprimeable number, because it can be changed into a prime (11201213101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4667170926 + ... + 4667173325.

Almost surely, 2^{11201213101200} is an apocalyptic number.

11201213101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201213101200 is an abundant number, since it is smaller than the sum of its proper divisors (24680006203488).

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

11201213101200 is a wasteful number, since it uses less digits than its factorization.

11201213101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334344272 (or 9334344261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11201213101200 its reverse (210131210211), we get a palindrome (11411344311411).

The spelling of 11201213101200 in words is "eleven trillion, two hundred one billion, two hundred thirteen million, one hundred one thousand, two hundred".