2012373810000 has 900 divisors, whose sum is σ = 7590230139492. Its totient is φ = 495830016000.

The previous prime is 2012373809989. The next prime is 2012373810047. The reversal of 2012373810000 is 183732102.

It can be written as a sum of positive squares in 10 ways, for example, as 729056407104 + 1283317402896 = 853848^2 + 1132836^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×2012373810000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6868169854 + ... + 6868170146.

Almost surely, 2^{2012373810000} is an apocalyptic number.

2012373810000 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 2012373810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795115069746).

2012373810000 is an abundant number, since it is smaller than the sum of its proper divisors (5577856329492).

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

2012373810000 is a wasteful number, since it uses less digits than its factorization.

2012373810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2012373810000 in words is "two trillion, twelve billion, three hundred seventy-three million, eight hundred ten thousand".