212412410320 has 80 divisors (see below), whose sum is σ = 538916400000. Its totient is φ = 77217753600.

The previous prime is 212412410299. The next prime is 212412410323. The reversal of 212412410320 is 23014214212.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 212412410291 and 212412410300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412410323) 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, 3055306 + ... + 3124054.

It is an arithmetic number, because the mean of its divisors is an integer number (6736455000).

Almost surely, 2^212412410320 is an apocalyptic number.

212412410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212412410320 is an abundant number, since it is smaller than the sum of its proper divisors (326503989680).

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

212412410320 is a wasteful number, since it uses less digits than its factorization.

212412410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72284 (or 72278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212412410320 its reverse (23014214212), we get a palindrome (235426624532).

The spelling of 212412410320 in words is "two hundred twelve billion, four hundred twelve million, four hundred ten thousand, three hundred twenty".