20111011200 has 432 divisors, whose sum is σ = 83482586460. Its totient is φ = 4596480000.

The previous prime is 20111011189. The next prime is 20111011247. The reversal of 20111011200 is 211011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1404075 + ... + 1418325.

Almost surely, 2^20111011200 is an apocalyptic number.

20111011200 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 20111011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41741293230).

20111011200 is an abundant number, since it is smaller than the sum of its proper divisors (63371575260).

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

20111011200 is a wasteful number, since it uses less digits than its factorization.

20111011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111011200 its reverse (211011102), we get a palindrome (20322022302).

The spelling of 20111011200 in words is "twenty billion, one hundred eleven million, eleven thousand, two hundred".