212452000 has 48 divisors (see below), whose sum is σ = 522004392. Its totient is φ = 84979200.

The previous prime is 212451997. The next prime is 212452003. The reversal of 212452000 is 254212.

212452000 is digitally balanced in base 3, 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 (212451997) and next prime (212452003).

It can be written as a sum of positive squares in 4 ways, for example, as 62536464 + 149915536 = 7908^2 + 12244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212452003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22557 + ... + 30556.

Almost surely, 2^212452000 is an apocalyptic number.

212452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212452000 is an abundant number, since it is smaller than the sum of its proper divisors (309552392).

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

212452000 is an equidigital number, since it uses as much as digits as its factorization.

212452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53138 (or 53120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 212452000 is about 14575.7332577130. The cubic root of 212452000 is about 596.6966614483.

The spelling of 212452000 in words is "two hundred twelve million, four hundred fifty-two thousand".