2121112011200 has 336 divisors, whose sum is σ = 6501137233920. Its totient is φ = 663205294080.

The previous prime is 2121112011163. The next prime is 2121112011223. The reversal of 2121112011200 is 21102111212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11997041 + ... + 12172559.

It is an arithmetic number, because the mean of its divisors is an integer number (19348622720).

Almost surely, 2^{2121112011200} is an apocalyptic number.

2121112011200 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 2121112011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250568616960).

2121112011200 is an abundant number, since it is smaller than the sum of its proper divisors (4380025222720).

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

2121112011200 is a wasteful number, since it uses less digits than its factorization.

2121112011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175644 (or 175629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121112011200 its reverse (21102111212), we get a palindrome (2142214122412).

The spelling of 2121112011200 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, eleven thousand, two hundred".