212414431020 has 192 divisors, whose sum is σ = 670445862912. Its totient is φ = 49782240000.

The previous prime is 212414430953. The next prime is 212414431039. The reversal of 212414431020 is 20134414212.

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, 22235245 + ... + 22244795.

It is an arithmetic number, because the mean of its divisors is an integer number (3491905536).

Almost surely, 2^212414431020 is an apocalyptic number.

212414431020 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 212414431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335222931456).

212414431020 is an abundant number, since it is smaller than the sum of its proper divisors (458031431892).

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

212414431020 is a wasteful number, since it uses less digits than its factorization.

212414431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212414431020 its reverse (20134414212), we get a palindrome (232548845232).

The spelling of 212414431020 in words is "two hundred twelve billion, four hundred fourteen million, four hundred thirty-one thousand, twenty".