2012130432 has 384 divisors, whose sum is σ = 6666332400. Its totient is φ = 578027520.

The previous prime is 2012130431. The next prime is 2012130451. The reversal of 2012130432 is 2340312102.

2012130432 is a `hidden beast` number, since 20 + 1 + 213 + 0 + 432 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69696 + 2012060736 = 264^2 + 44856^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17806408 + ... + 17806520.

Almost surely, 2^2012130432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333166200).

2012130432 is an abundant number, since it is smaller than the sum of its proper divisors (4654201968).

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

2012130432 is a wasteful number, since it uses less digits than its factorization.

2012130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012130432 is about 44856.7768793078. The cubic root of 2012130432 is about 1262.4631484456.

Adding to 2012130432 its reverse (2340312102), we get a palindrome (4352442534).

The spelling of 2012130432 in words is "two billion, twelve million, one hundred thirty thousand, four hundred thirty-two".