2112414003200 has 312 divisors, whose sum is σ = 5468605165440. Its totient is φ = 808412774400.

The previous prime is 2112414003181. The next prime is 2112414003211. The reversal of 2112414003200 is 23004142112.

It is a super-2 number, since 2×2112414003200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282517862 + ... + 282525338.

Almost surely, 2^{2112414003200} is an apocalyptic number.

2112414003200 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 2112414003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734302582720).

2112414003200 is an abundant number, since it is smaller than the sum of its proper divisors (3356191162240).

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

2112414003200 is an equidigital number, since it uses as much as digits as its factorization.

2112414003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2112414003200 its reverse (23004142112), we get a palindrome (2135418145312).

The spelling of 2112414003200 in words is "two trillion, one hundred twelve billion, four hundred fourteen million, three thousand, two hundred".