201211256270368 has 96 divisors (see below), whose sum is σ = 422200105367040. Its totient is φ = 94173428490240.

The previous prime is 201211256270359. The next prime is 201211256270369. The reversal of 201211256270368 is 863072652112102.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (201211256270369) 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 15 ways as a sum of consecutive naturals, for example, 312424588 + ... + 313067956.

It is an arithmetic number, because the mean of its divisors is an integer number (4397917764240).

Almost surely, 2^{201211256270368} 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 201211256270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211100052683520).

201211256270368 is an abundant number, since it is smaller than the sum of its proper divisors (220988849096672).

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

201211256270368 is a wasteful number, since it uses less digits than its factorization.

201211256270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652490 (or 652482 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 201211256270368 in words is "two hundred one trillion, two hundred eleven billion, two hundred fifty-six million, two hundred seventy thousand, three hundred sixty-eight".