212514320 has 80 divisors (see below), whose sum is σ = 515592000. Its totient is φ = 81360384.

The previous prime is 212514277. The next prime is 212514329. The reversal of 212514320 is 23415212.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 212514292 and 212514301.

It is not an unprimeable number, because it can be changed into a prime (212514329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322151 + ... + 322809.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^212514320 is an apocalyptic number.

212514320 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 212514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796000).

212514320 is an abundant number, since it is smaller than the sum of its proper divisors (303077680).

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

212514320 is a wasteful number, since it uses less digits than its factorization.

212514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212514320 is about 14577.8709007866. The cubic root of 212514320 is about 596.7550001169.

Adding to 212514320 its reverse (23415212), we get a palindrome (235929532).

The spelling of 212514320 in words is "two hundred twelve million, five hundred fourteen thousand, three hundred twenty".