2012434023140 has 96 divisors (see below), whose sum is σ = 4415077497600. Its totient is φ = 769539294720.

The previous prime is 2012434023113. The next prime is 2012434023217. The reversal of 2012434023140 is 413204342102.

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 31 ways as a sum of consecutive naturals, for example, 95514887 + ... + 95535953.

It is an arithmetic number, because the mean of its divisors is an integer number (45990390600).

Almost surely, 2^{2012434023140} is an apocalyptic number.

2012434023140 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 2012434023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207538748800).

2012434023140 is an abundant number, since it is smaller than the sum of its proper divisors (2402643474460).

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

2012434023140 is a wasteful number, since it uses less digits than its factorization.

2012434023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22723 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2012434023140 its reverse (413204342102), we get a palindrome (2425638365242).

The spelling of 2012434023140 in words is "two trillion, twelve billion, four hundred thirty-four million, twenty-three thousand, one hundred forty".