11001200210000 has 1200 divisors, whose sum is σ = 36785999712000. Its totient is φ = 3163628160000.

The previous prime is 11001200209997. The next prime is 11001200210003. The reversal of 11001200210000 is 1200210011.

It is an interprime number because it is at equal distance from previous prime (11001200209997) and next prime (11001200210003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11001200210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001200210003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5395388981 + ... + 5395391019.

It is an arithmetic number, because the mean of its divisors is an integer number (30654999760).

Almost surely, 2^{11001200210000} is an apocalyptic number.

11001200210000 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 11001200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392999856000).

11001200210000 is an abundant number, since it is smaller than the sum of its proper divisors (25784799502000).

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

11001200210000 is a wasteful number, since it uses less digits than its factorization.

11001200210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11001200210000 its reverse (1200210011), we get a palindrome (11002400420011).

The spelling of 11001200210000 in words is "eleven trillion, one billion, two hundred million, two hundred ten thousand".