212404413000 has 256 divisors, whose sum is σ = 717402067200. Its totient is φ = 52011417600.

The previous prime is 212404412947. The next prime is 212404413019. The reversal of 212404413000 is 314404212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7512891 + ... + 7541109.

It is an arithmetic number, because the mean of its divisors is an integer number (2802351825).

Almost surely, 2^212404413000 is an apocalyptic number.

212404413000 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 212404413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358701033600).

212404413000 is an abundant number, since it is smaller than the sum of its proper divisors (504997654200).

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

212404413000 is a wasteful number, since it uses less digits than its factorization.

212404413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28449 (or 28435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212404413000 its reverse (314404212), we get a palindrome (212718817212).

The spelling of 212404413000 in words is "two hundred twelve billion, four hundred four million, four hundred thirteen thousand".