11120001200200 has 192 divisors, whose sum is σ = 26499845932560. Its totient is φ = 4337936977920.

The previous prime is 11120001200153. The next prime is 11120001200201. The reversal of 11120001200200 is 200210002111.

It can be written as a sum of positive squares in 24 ways, for example, as 1281202137604 + 9838799062596 = 1131902^2 + 3136686^2 .

It is a super-6 number, since 6×11120001200200⁶ (a number of 80 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11120001200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3418381774 + ... + 3418385026.

Almost surely, 2^{11120001200200} is an apocalyptic number.

11120001200200 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 11120001200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249922966280).

11120001200200 is an abundant number, since it is smaller than the sum of its proper divisors (15379844732360).

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

11120001200200 is a wasteful number, since it uses less digits than its factorization.

11120001200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11120001200200 its reverse (200210002111), we get a palindrome (11320211202311).

The spelling of 11120001200200 in words is "eleven trillion, one hundred twenty billion, one million, two hundred thousand, two hundred".