201014441211312 has 60 divisors (see below), whose sum is σ = 574530636956640. Its totient is φ = 65579179400064.

The previous prime is 201014441211281. The next prime is 201014441211313. The reversal of 201014441211312 is 213112144410102.

201014441211312 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 4 + 441 + 211 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×201014441211312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201014441211313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14850350887 + ... + 14850364422.

It is an arithmetic number, because the mean of its divisors is an integer number (9575510615944).

Almost surely, 2^{201014441211312} is an apocalyptic number.

It is an amenable number.

201014441211312 is an abundant number, since it is smaller than the sum of its proper divisors (373516195745328).

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

201014441211312 is a wasteful number, since it uses less digits than its factorization.

201014441211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29700715370 (or 29700715361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 201014441211312 its reverse (213112144410102), we get a palindrome (414126585621414).

The spelling of 201014441211312 in words is "two hundred one trillion, fourteen billion, four hundred forty-one million, two hundred eleven thousand, three hundred twelve".