2112412520 has 64 divisors (see below), whose sum is σ = 5127552720. Its totient is φ = 780242944.

The previous prime is 2112412487. The next prime is 2112412543. The reversal of 2112412520 is 252142112.

It can be written as a sum of positive squares in 8 ways, for example, as 2002204516 + 110208004 = 44746^2 + 10498^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2112412492 and 2112412501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6734 + ... + 65346.

Almost surely, 2^2112412520 is an apocalyptic number.

2112412520 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 2112412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563776360).

2112412520 is an abundant number, since it is smaller than the sum of its proper divisors (3015140200).

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

2112412520 is a wasteful number, since it uses less digits than its factorization.

2112412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58694 (or 58690 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2112412520 is about 45960.9891103314. The cubic root of 2112412520 is about 1283.0972601500.

Adding to 2112412520 its reverse (252142112), we get a palindrome (2364554632).

The spelling of 2112412520 in words is "two billion, one hundred twelve million, four hundred twelve thousand, five hundred twenty".