212000160 has 48 divisors (see below), whose sum is σ = 667802016. Its totient is φ = 56533248.

The previous prime is 212000147. The next prime is 212000161. The reversal of 212000160 is 61000212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220354 + ... + 221313.

It is an arithmetic number, because the mean of its divisors is an integer number (13912542).

Almost surely, 2^212000160 is an apocalyptic number.

212000160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000160 is an abundant number, since it is smaller than the sum of its proper divisors (455801856).

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

212000160 is a wasteful number, since it uses less digits than its factorization.

212000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441685 (or 441677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212000160 is about 14560.2252729826. The cubic root of 212000160 is about 596.2733457802.

Adding to 212000160 its reverse (61000212), we get a palindrome (273000372).

The spelling of 212000160 in words is "two hundred twelve million, one hundred sixty", and thus it is an aban number.