201209128848 has 480 divisors, whose sum is σ = 724541126400. Its totient is φ = 51765073920.

The previous prime is 201209128817. The next prime is 201209128859. The reversal of 201209128848 is 848821902102.

It is a super-2 number, since 2×201209128848² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26322115 + ... + 26329757.

It is an arithmetic number, because the mean of its divisors is an integer number (1509460680).

Almost surely, 2^201209128848 is an apocalyptic number.

201209128848 is a gapful number since it is divisible by the number (28) 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 201209128848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362270563200).

201209128848 is an abundant number, since it is smaller than the sum of its proper divisors (523331997552).

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

201209128848 is a wasteful number, since it uses less digits than its factorization.

201209128848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 201209128848 in words is "two hundred one billion, two hundred nine million, one hundred twenty-eight thousand, eight hundred forty-eight".