160212313800 has 480 divisors, whose sum is σ = 693750150720. Its totient is φ = 33290611200.

The previous prime is 160212313777. The next prime is 160212313819. The reversal of 160212313800 is 8313212061.

It is a happy number.

160212313800 is a `hidden beast` number, since 1 + 60 + 212 + 313 + 80 + 0 = 666.

160212313800 is digitally balanced in base 2, because in such base 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 (27).

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 119 ways as a sum of consecutive naturals, for example, 1183182 + ... + 1311618.

It is an arithmetic number, because the mean of its divisors is an integer number (1445312814).

Almost surely, 2^160212313800 is an apocalyptic number.

160212313800 is a gapful number since it is divisible by the number (10) 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 160212313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346875075360).

160212313800 is an abundant number, since it is smaller than the sum of its proper divisors (533537836920).

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

160212313800 is a wasteful number, since it uses less digits than its factorization.

160212313800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128483 (or 128465 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 160212313800 its reverse (8313212061), we get a palindrome (168525525861).

The spelling of 160212313800 in words is "one hundred sixty billion, two hundred twelve million, three hundred thirteen thousand, eight hundred".