201120187725952 has 256 divisors, whose sum is σ = 472876948224000. Its totient is φ = 84234155765760.

The previous prime is 201120187725883. The next prime is 201120187725967. The reversal of 201120187725952 is 259527781021102.

It is a self number, because there is not a number n which added to its sum of digits gives 201120187725952.

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 31 ways as a sum of consecutive naturals, for example, 140888158 + ... + 142308514.

It is an arithmetic number, because the mean of its divisors is an integer number (1847175579000).

Almost surely, 2^{201120187725952} is an apocalyptic number.

201120187725952 is a gapful number since it is divisible by the number (22) 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 201120187725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236438474112000).

201120187725952 is an abundant number, since it is smaller than the sum of its proper divisors (271756760498048).

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

201120187725952 is a wasteful number, since it uses less digits than its factorization.

201120187725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420547 (or 1420535 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 201120187725952 in words is "two hundred one trillion, one hundred twenty billion, one hundred eighty-seven million, seven hundred twenty-five thousand, nine hundred fifty-two".