201553229712 has 160 divisors (see below), whose sum is σ = 565932528000. Its totient is φ = 61561405440.

The previous prime is 201553229707. The next prime is 201553229789. The reversal of 201553229712 is 217922355102.

201553229712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 16688508 + ... + 16700580.

It is an arithmetic number, because the mean of its divisors is an integer number (3537078300).

Almost surely, 2^201553229712 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 201553229712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282966264000).

201553229712 is an abundant number, since it is smaller than the sum of its proper divisors (364379298288).

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

201553229712 is a wasteful number, since it uses less digits than its factorization.

201553229712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 201553229712 in words is "two hundred one billion, five hundred fifty-three million, two hundred twenty-nine thousand, seven hundred twelve".