2011112134200 has 576 divisors, whose sum is σ = 7511233536000. Its totient is φ = 494368842240.

The previous prime is 2011112134181. The next prime is 2011112134231. The reversal of 2011112134200 is 24312111102.

2011112134200 is a `hidden beast` number, since 20 + 1 + 1 + 11 + 213 + 420 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1167214539 + ... + 1167216261.

It is an arithmetic number, because the mean of its divisors is an integer number (13040336000).

Almost surely, 2^{2011112134200} is an apocalyptic number.

2011112134200 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 2011112134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755616768000).

2011112134200 is an abundant number, since it is smaller than the sum of its proper divisors (5500121401800).

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

2011112134200 is a wasteful number, since it uses less digits than its factorization.

2011112134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2011112134200 its reverse (24312111102), we get a palindrome (2035424245302).

The spelling of 2011112134200 in words is "two trillion, eleven billion, one hundred twelve million, one hundred thirty-four thousand, two hundred".