212404322240 has 112 divisors (see below), whose sum is σ = 555981681024. Its totient is φ = 76648166400.

The previous prime is 212404322219. The next prime is 212404322269. The reversal of 212404322240 is 42223404212.

It is a super-2 number, since 2×212404322240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230807 + ... + 691433.

It is an arithmetic number, because the mean of its divisors is an integer number (4964122152).

Almost surely, 2^212404322240 is an apocalyptic number.

212404322240 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 212404322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277990840512).

212404322240 is an abundant number, since it is smaller than the sum of its proper divisors (343577358784).

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

212404322240 is a wasteful number, since it uses less digits than its factorization.

212404322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460786 (or 460776 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 212404322240 its reverse (42223404212), we get a palindrome (254627726452).

The spelling of 212404322240 in words is "two hundred twelve billion, four hundred four million, three hundred twenty-two thousand, two hundred forty".