212921800 has 96 divisors (see below), whose sum is σ = 609336000. Its totient is φ = 67380480.

The previous prime is 212921789. The next prime is 212921831. The reversal of 212921800 is 8129212.

212921800 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 (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12351 + ... + 24049.

It is an arithmetic number, because the mean of its divisors is an integer number (6347250).

Almost surely, 2^212921800 is an apocalyptic number.

212921800 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 212921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

212921800 is an abundant number, since it is smaller than the sum of its proper divisors (396414200).

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

212921800 is a wasteful number, since it uses less digits than its factorization.

212921800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11735 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 212921800 is about 14591.8401855283. The cubic root of 212921800 is about 597.1361673336.

The spelling of 212921800 in words is "two hundred twelve million, nine hundred twenty-one thousand, eight hundred".