212160000 has 400 divisors, whose sum is σ = 805354704. Its totient is φ = 49152000.

The previous prime is 212159993. The next prime is 212160019. The reversal of 212160000 is 61212.

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 12479992 + ... + 12480008.

Almost surely, 2^212160000 is an apocalyptic number.

212160000 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 212160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402677352).

212160000 is an abundant number, since it is smaller than the sum of its proper divisors (593194704).

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

212160000 is an equidigital number, since it uses as much as digits as its factorization.

212160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212160000 is about 14565.7131648265. The cubic root of 212160000 is about 596.4231638883.

The spelling of 212160000 in words is "two hundred twelve million, one hundred sixty thousand".