2112404135520 has 384 divisors, whose sum is σ = 7806419712000. Its totient is φ = 479937755136.

The previous prime is 2112404135519. The next prime is 2112404135591. The reversal of 2112404135520 is 255314042112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27456466 + ... + 27533294.

It is an arithmetic number, because the mean of its divisors is an integer number (20329218000).

Almost surely, 2^{2112404135520} is an apocalyptic number.

2112404135520 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 2112404135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903209856000).

2112404135520 is an abundant number, since it is smaller than the sum of its proper divisors (5694015576480).

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

2112404135520 is a wasteful number, since it uses less digits than its factorization.

2112404135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77035 (or 77013 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2112404135520 its reverse (255314042112), we get a palindrome (2367718177632).

The spelling of 2112404135520 in words is "two trillion, one hundred twelve billion, four hundred four million, one hundred thirty-five thousand, five hundred twenty".