11101200211200 has 432 divisors, whose sum is σ = 40221529782336. Its totient is φ = 2674050662400.

The previous prime is 11101200211183. The next prime is 11101200211243. The reversal of 11101200211200 is 211200210111.

It is a super-2 number, since 2×11101200211200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32991004 + ... + 33325796.

Almost surely, 2^{11101200211200} is an apocalyptic number.

11101200211200 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 11101200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110764891168).

11101200211200 is an abundant number, since it is smaller than the sum of its proper divisors (29120329571136).

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

11101200211200 is a wasteful number, since it uses less digits than its factorization.

11101200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334990 (or 334971 counting only the distinct ones).

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

Adding to 11101200211200 its reverse (211200210111), we get a palindrome (11312400421311).

It can be divided in two parts, 11101200 and 211200, that multiplied together give a square (2344573440000 = 1531200²).

The spelling of 11101200211200 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred eleven thousand, two hundred".