212960000 has 180 divisors, whose sum is σ = 584269224. Its totient is φ = 77440000.

The previous prime is 212959993. The next prime is 212960009. The reversal of 212960000 is 69212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212960009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19359995 + ... + 19360005.

Almost surely, 2^212960000 is an apocalyptic number.

212960000 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 212960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292134612).

212960000 is an abundant number, since it is smaller than the sum of its proper divisors (371309224).

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

212960000 is an frugal number, since it uses more digits than its factorization.

212960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 212960000 is about 14593.1490775638. The cubic root of 212960000 is about 597.1718756509.

212960000 divided by its sum of digits (20) gives a cube (10648000 = 220³).

The spelling of 212960000 in words is "two hundred twelve million, nine hundred sixty thousand".