2112033410000 has 400 divisors, whose sum is σ = 5461183461888. Its totient is φ = 789657600000.

The previous prime is 2112033409999. The next prime is 2112033410017. The reversal of 2112033410000 is 143302112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1359969224 + ... + 1359970776.

Almost surely, 2^{2112033410000} is an apocalyptic number.

2112033410000 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 2112033410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730591730944).

2112033410000 is an abundant number, since it is smaller than the sum of its proper divisors (3349150051888).

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

2112033410000 is a wasteful number, since it uses less digits than its factorization.

2112033410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2112033410000 its reverse (143302112), we get a palindrome (2112176712112).

The spelling of 2112033410000 in words is "two trillion, one hundred twelve billion, thirty-three million, four hundred ten thousand".