212908000 has 192 divisors, whose sum is σ = 577414656. Its totient is φ = 76800000.

The previous prime is 212907991. The next prime is 212908009. The reversal of 212908000 is 809212.

212908000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212907991) and next prime (212908009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212908009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107950 + ... + 2108050.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 2^212908000 is an apocalyptic number.

212908000 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 212908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

212908000 is an abundant number, since it is smaller than the sum of its proper divisors (364506656).

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

212908000 is a wasteful number, since it uses less digits than its factorization.

212908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 212908000 is about 14591.3673108451. The cubic root of 212908000 is about 597.1232664201.

The spelling of 212908000 in words is "two hundred twelve million, nine hundred eight thousand".