212431003020 has 288 divisors, whose sum is σ = 674879325120. Its totient is φ = 54036357120.

The previous prime is 212431003013. The next prime is 212431003051. The reversal of 212431003020 is 20300134212.

212431003020 is a `hidden beast` number, since 21 + 243 + 100 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212431002984 and 212431003002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87025000 + ... + 87027440.

It is an arithmetic number, because the mean of its divisors is an integer number (2343330990).

Almost surely, 2^212431003020 is an apocalyptic number.

212431003020 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 212431003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337439662560).

212431003020 is an abundant number, since it is smaller than the sum of its proper divisors (462448322100).

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

212431003020 is a wasteful number, since it uses less digits than its factorization.

212431003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212431003020 its reverse (20300134212), we get a palindrome (232731137232).

The spelling of 212431003020 in words is "two hundred twelve billion, four hundred thirty-one million, three thousand, twenty".