11210011200 has 420 divisors, whose sum is σ = 41852577712. Its totient is φ = 2942438400.

The previous prime is 11210011177. The next prime is 11210011217. The reversal of 11210011200 is 211001211.

It is a happy number.

It is a super-2 number, since 2×11210011200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8682555 + ... + 8683845.

Almost surely, 2^11210011200 is an apocalyptic number.

11210011200 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 11210011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20926288856).

11210011200 is an abundant number, since it is smaller than the sum of its proper divisors (30642566512).

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

11210011200 is a wasteful number, since it uses less digits than its factorization.

11210011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210011200 its reverse (211001211), we get a palindrome (11421012411).

The spelling of 11210011200 in words is "eleven billion, two hundred ten million, eleven thousand, two hundred".