2011202200800 has 360 divisors, whose sum is σ = 7898656156776. Its totient is φ = 495064949760.

The previous prime is 2011202200747. The next prime is 2011202200801. The reversal of 2011202200800 is 80022021102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011202200801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 351334 + ... + 2036133.

Almost surely, 2^{2011202200800} is an apocalyptic number.

2011202200800 is a gapful number since it is divisible by the number (20) 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 2011202200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949328078388).

2011202200800 is an abundant number, since it is smaller than the sum of its proper divisors (5887453955976).

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

2011202200800 is a wasteful number, since it uses less digits than its factorization.

2011202200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387512 (or 2387490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2011202200800 its reverse (80022021102), we get a palindrome (2091224221902).

The spelling of 2011202200800 in words is "two trillion, eleven billion, two hundred two million, two hundred thousand, eight hundred".