201001568316120 has 768 divisors, whose sum is σ = 800991535518720. Its totient is φ = 43014982348800.

The previous prime is 201001568316103. The next prime is 201001568316149. The reversal of 201001568316120 is 21613865100102.

201001568316120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 1 + 5 + 6 + 8 + 31 + 612 + 0 = 666.

201001568316120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7013054590 + ... + 7013083250.

It is an arithmetic number, because the mean of its divisors is an integer number (1042957728540).

Almost surely, 2^{201001568316120} is an apocalyptic number.

201001568316120 is a gapful number since it is divisible by the number (20) 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 201001568316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400495767759360).

201001568316120 is an abundant number, since it is smaller than the sum of its proper divisors (599989967202600).

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

201001568316120 is a wasteful number, since it uses less digits than its factorization.

201001568316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34648 (or 34641 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 201001568316120 in words is "two hundred one trillion, one billion, five hundred sixty-eight million, three hundred sixteen thousand, one hundred twenty".