200012313031040 has 128 divisors (see below), whose sum is σ = 489735245145600. Its totient is φ = 78077032511488.

The previous prime is 200012313031009. The next prime is 200012313031127. The reversal of 200012313031040 is 40130313210002.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856571 + ... + 20018949.

It is an arithmetic number, because the mean of its divisors is an integer number (3826056602700).

Almost surely, 2^{200012313031040} is an apocalyptic number.

200012313031040 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 200012313031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244867622572800).

200012313031040 is an abundant number, since it is smaller than the sum of its proper divisors (289722932114560).

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

200012313031040 is a wasteful number, since it uses less digits than its factorization.

200012313031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19162792 (or 19162780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200012313031040 its reverse (40130313210002), we get a palindrome (240142626241042).

The spelling of 200012313031040 in words is "two hundred trillion, twelve billion, three hundred thirteen million, thirty-one thousand, forty".