2011011211200 has 168 divisors, whose sum is σ = 6598438708608. Its totient is φ = 536217144320.

The previous prime is 2011011211169. The next prime is 2011011211273. The reversal of 2011011211200 is 21121101102.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91971469 + ... + 91993331.

Almost surely, 2^{2011011211200} is an apocalyptic number.

2011011211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011211200 is an abundant number, since it is smaller than the sum of its proper divisors (4587427497408).

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

2011011211200 is a wasteful number, since it uses less digits than its factorization.

2011011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051 (or 41036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011011211200 its reverse (21121101102), we get a palindrome (2032132312302).

The spelling of 2011011211200 in words is "two trillion, eleven billion, eleven million, two hundred eleven thousand, two hundred".