212532000 has 192 divisors, whose sum is σ = 707616000. Its totient is φ = 55756800.

The previous prime is 212531989. The next prime is 212532013. The reversal of 212532000 is 235212.

212532000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212532000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067901 + ... + 1068099.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^212532000 is an apocalyptic number.

212532000 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 212532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

212532000 is an abundant number, since it is smaller than the sum of its proper divisors (495084000).

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

212532000 is a wasteful number, since it uses less digits than its factorization.

212532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 212532000 is about 14578.4772867402. The cubic root of 212532000 is about 596.7715485482.

Adding to 212532000 its reverse (235212), we get a palindrome (212767212).

The spelling of 212532000 in words is "two hundred twelve million, five hundred thirty-two thousand".