212052000 has 192 divisors, whose sum is σ = 713276928. Its totient is φ = 55040000.

The previous prime is 212051981. The next prime is 212052013. The reversal of 212052000 is 250212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 491785 + ... + 492215.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^212052000 is an apocalyptic number.

212052000 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 212052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

212052000 is an abundant number, since it is smaller than the sum of its proper divisors (501224928).

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

212052000 is a wasteful number, since it uses less digits than its factorization.

212052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212052000 is about 14562.0053564061. The cubic root of 212052000 is about 596.3219436854.

The spelling of 212052000 in words is "two hundred twelve million, fifty-two thousand".