212505242040 has 512 divisors, whose sum is σ = 895394304000. Its totient is φ = 43623733248.

The previous prime is 212505242011. The next prime is 212505242083. The reversal of 212505242040 is 40242505212.

212505242040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212505241995 and 212505242013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3607141 + ... + 3665579.

It is an arithmetic number, because the mean of its divisors is an integer number (1748817000).

Almost surely, 2^212505242040 is an apocalyptic number.

212505242040 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 212505242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447697152000).

212505242040 is an abundant number, since it is smaller than the sum of its proper divisors (682889061960).

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

212505242040 is a wasteful number, since it uses less digits than its factorization.

212505242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58516 (or 58506 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 212505242040 its reverse (40242505212), we get a palindrome (252747747252).

The spelling of 212505242040 in words is "two hundred twelve billion, five hundred five million, two hundred forty-two thousand, forty".