212168000 has 112 divisors (see below), whose sum is σ = 573438528. Its totient is φ = 77120000.

The previous prime is 212167987. The next prime is 212168017. The reversal of 212168000 is 861212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86795 + ... + 89205.

Almost surely, 2^212168000 is an apocalyptic number.

212168000 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 212168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286719264).

212168000 is an abundant number, since it is smaller than the sum of its proper divisors (361270528).

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

212168000 is a wasteful number, since it uses less digits than its factorization.

212168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 212168000 is about 14565.9877797560. The cubic root of 212168000 is about 596.4306603145.

The spelling of 212168000 in words is "two hundred twelve million, one hundred sixty-eight thousand".