212418000 has 120 divisors (see below), whose sum is σ = 741968136. Its totient is φ = 56640000.

The previous prime is 212417987. The next prime is 212418061. The reversal of 212418000 is 814212.

212418000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 204261264 = 2856^2 + 14292^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 12100 + ... + 23900.

Almost surely, 2^212418000 is an apocalyptic number.

212418000 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 212418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370984068).

212418000 is an abundant number, since it is smaller than the sum of its proper divisors (529550136).

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

212418000 is a wasteful number, since it uses less digits than its factorization.

212418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 212418000 is about 14574.5668889336. The cubic root of 212418000 is about 596.6648287381.

It can be divided in two parts, 21241 and 8000, that added together give a square (29241 = 171²).

The spelling of 212418000 in words is "two hundred twelve million, four hundred eighteen thousand".