201012431312 has 160 divisors (see below), whose sum is σ = 512152934400. Its totient is φ = 74044454400.

The previous prime is 201012431273. The next prime is 201012431329. The reversal of 201012431312 is 213134210102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11906237 + ... + 11923107.

It is an arithmetic number, because the mean of its divisors is an integer number (3200955840).

Almost surely, 2^201012431312 is an apocalyptic number.

201012431312 is a gapful number since it is divisible by the number (22) 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 201012431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256076467200).

201012431312 is an abundant number, since it is smaller than the sum of its proper divisors (311140503088).

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

201012431312 is a wasteful number, since it uses less digits than its factorization.

201012431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17425 (or 17419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201012431312 its reverse (213134210102), we get a palindrome (414146641414).

The spelling of 201012431312 in words is "two hundred one billion, twelve million, four hundred thirty-one thousand, three hundred twelve".