212241040020 has 192 divisors, whose sum is σ = 715407517440. Its totient is φ = 52029444096.

The previous prime is 212241040019. The next prime is 212241040069. The reversal of 212241040020 is 20040142212.

212241040020 is a `hidden beast` number, since 2 + 1 + 2 + 241 + 0 + 400 + 20 = 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 = 212241039975 and 212241040002.

It is a congruent number.

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, 125904 + ... + 663576.

It is an arithmetic number, because the mean of its divisors is an integer number (3726080820).

Almost surely, 2^212241040020 is an apocalyptic number.

212241040020 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 212241040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357703758720).

212241040020 is an abundant number, since it is smaller than the sum of its proper divisors (503166477420).

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

212241040020 is a wasteful number, since it uses less digits than its factorization.

212241040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537751 (or 537743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212241040020 its reverse (20040142212), we get a palindrome (232281182232).

The spelling of 212241040020 in words is "two hundred twelve billion, two hundred forty-one million, forty thousand, twenty".