212260320 has 144 divisors (see below), whose sum is σ = 728687232. Its totient is φ = 56263680.

The previous prime is 212260313. The next prime is 212260327. The reversal of 212260320 is 23062212.

212260320 is a `hidden beast` number, since 21 + 22 + 603 + 20 = 666.

212260320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212260313) and next prime (212260327).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 212260293 and 212260302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212260327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320790 + ... + 321450.

It is an arithmetic number, because the mean of its divisors is an integer number (5060328).

Almost surely, 2^212260320 is an apocalyptic number.

212260320 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 212260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364343616).

212260320 is an abundant number, since it is smaller than the sum of its proper divisors (516426912).

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

212260320 is a wasteful number, since it uses less digits than its factorization.

212260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212260320 is about 14569.1564615114. The cubic root of 212260320 is about 596.5171554411.

The spelling of 212260320 in words is "two hundred twelve million, two hundred sixty thousand, three hundred twenty".