201211488 has 72 divisors (see below), whose sum is σ = 573876576. Its totient is φ = 66873600.

The previous prime is 201211481. The next prime is 201211511. The reversal of 201211488 is 884112102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123318 + ... + 124938.

It is an arithmetic number, because the mean of its divisors is an integer number (7970508).

Almost surely, 2^201211488 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 201211488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286938288).

201211488 is an abundant number, since it is smaller than the sum of its proper divisors (372665088).

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

201211488 is a wasteful number, since it uses less digits than its factorization.

201211488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 201211488 is about 14184.9035245221. The cubic root of 201211488 is about 585.9819755509.

It can be divided in two parts, 20121 and 1488, that added together give a square (21609 = 147²).

The spelling of 201211488 in words is "two hundred one million, two hundred eleven thousand, four hundred eighty-eight".