11200222200000 has 1344 divisors, whose sum is σ = 40816203595776. Its totient is φ = 2699059200000.

The previous prime is 11200222199963. The next prime is 11200222200029. The reversal of 11200222200000 is 222200211.

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 191 ways as a sum of consecutive naturals, for example, 29243399809 + ... + 29243400191.

It is an arithmetic number, because the mean of its divisors is an integer number (30369199104).

Almost surely, 2^{11200222200000} is an apocalyptic number.

11200222200000 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 11200222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408101797888).

11200222200000 is an abundant number, since it is smaller than the sum of its proper divisors (29615981395776).

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

11200222200000 is an equidigital number, since it uses as much as digits as its factorization.

11200222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11200222200000 its reverse (222200211), we get a palindrome (11200444400211).

The spelling of 11200222200000 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, two hundred thousand".