2012131400 has 48 divisors (see below), whose sum is σ = 4698741300. Its totient is φ = 801319680.

The previous prime is 2012131399. The next prime is 2012131423. The reversal of 2012131400 is 41312102.

It can be written as a sum of positive squares in 6 ways, for example, as 658332964 + 1353798436 = 25658^2 + 36794^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23834 + ... + 67766.

Almost surely, 2^2012131400 is an apocalyptic number.

2012131400 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 2012131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349370650).

2012131400 is an abundant number, since it is smaller than the sum of its proper divisors (2686609900).

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

2012131400 is a wasteful number, since it uses less digits than its factorization.

2012131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44178 (or 44169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2012131400 is about 44856.7876692034. The cubic root of 2012131400 is about 1262.4633508951.

Adding to 2012131400 its reverse (41312102), we get a palindrome (2053443502).

The spelling of 2012131400 in words is "two billion, twelve million, one hundred thirty-one thousand, four hundred".