11012200021200 has 1440 divisors, whose sum is σ = 44442604657920. Its totient is φ = 2280694579200.

The previous prime is 11012200021171. The next prime is 11012200021231. The reversal of 11012200021200 is 212000221011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6844125996 + ... + 6844127604.

Almost surely, 2^{11012200021200} is an apocalyptic number.

11012200021200 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 11012200021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221302328960).

11012200021200 is an abundant number, since it is smaller than the sum of its proper divisors (33430404636720).

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

11012200021200 is a wasteful number, since it uses less digits than its factorization.

11012200021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1743 counting only the distinct ones).

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

Adding to 11012200021200 its reverse (212000221011), we get a palindrome (11224200242211).

The spelling of 11012200021200 in words is "eleven trillion, twelve billion, two hundred million, twenty-one thousand, two hundred".