11210112011200 has 336 divisors, whose sum is σ = 30492744053760. Its totient is φ = 4034610708480.

The previous prime is 11210112011179. The next prime is 11210112011227. The reversal of 11210112011200 is 211021101211.

It is a happy number.

It is a super-2 number, since 2×11210112011200² (a number of 27 digits) contains 22 as substring.

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, 1565873221 + ... + 1565880379.

Almost surely, 2^{11210112011200} is an apocalyptic number.

11210112011200 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 11210112011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246372026880).

11210112011200 is an abundant number, since it is smaller than the sum of its proper divisors (19282632042560).

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

11210112011200 is a wasteful number, since it uses less digits than its factorization.

11210112011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11210112011200 its reverse (211021101211), we get a palindrome (11421133112411).

The spelling of 11210112011200 in words is "eleven trillion, two hundred ten billion, one hundred twelve million, eleven thousand, two hundred".