11200210012200 has 384 divisors, whose sum is σ = 38895031808640. Its totient is φ = 2643148800000.

The previous prime is 11200210012181. The next prime is 11200210012247. The reversal of 11200210012200 is 221001200211.

It is a super-3 number, since 3×11200210012200³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38908800 + ... + 39195600.

It is an arithmetic number, because the mean of its divisors is an integer number (101289145335).

Almost surely, 2^{11200210012200} is an apocalyptic number.

11200210012200 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 11200210012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447515904320).

11200210012200 is an abundant number, since it is smaller than the sum of its proper divisors (27694821796440).

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

11200210012200 is a wasteful number, since it uses less digits than its factorization.

11200210012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286989 (or 286980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200210012200 its reverse (221001200211), we get a palindrome (11421211212411).

The spelling of 11200210012200 in words is "eleven trillion, two hundred billion, two hundred ten million, twelve thousand, two hundred".