163212000 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 35481600.

The previous prime is 163211987. The next prime is 163212041. The reversal of 163212000 is 212361.

163212000 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435967 + ... + 2436033.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^163212000 is an apocalyptic number.

163212000 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 163212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

163212000 is an abundant number, since it is smaller than the sum of its proper divisors (478359840).

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

163212000 is a wasteful number, since it uses less digits than its factorization.

163212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 163212000 is about 12775.4451977221. The cubic root of 163212000 is about 546.4922769809.

Adding to 163212000 its reverse (212361), we get a palindrome (163424361).

The spelling of 163212000 in words is "one hundred sixty-three million, two hundred twelve thousand".