201001212312 has 128 divisors (see below), whose sum is σ = 535310415360. Its totient is φ = 62752701440.

The previous prime is 201001212283. The next prime is 201001212317. The reversal of 201001212312 is 213212100102.

201001212312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201001212291 and 201001212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001212317) by changing a digit.

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, 15235783 + ... + 15248969.

It is an arithmetic number, because the mean of its divisors is an integer number (4182112620).

Almost surely, 2^201001212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267655207680).

201001212312 is an abundant number, since it is smaller than the sum of its proper divisors (334309203048).

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

201001212312 is a wasteful number, since it uses less digits than its factorization.

201001212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201001212312 its reverse (213212100102), we get a palindrome (414213312414).

The spelling of 201001212312 in words is "two hundred one billion, one million, two hundred twelve thousand, three hundred twelve".