212052315040 has 48 divisors (see below), whose sum is σ = 527340633120. Its totient is φ = 80356665600.

The previous prime is 212052315023. The next prime is 212052315103. The reversal of 212052315040 is 40513250212.

212052315040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212052314996 and 212052315014.

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 7 ways as a sum of consecutive naturals, for example, 34873986 + ... + 34880065.

It is an arithmetic number, because the mean of its divisors is an integer number (10986263190).

Almost surely, 2^212052315040 is an apocalyptic number.

212052315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212052315040 is an abundant number, since it is smaller than the sum of its proper divisors (315288318080).

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

212052315040 is a wasteful number, since it uses less digits than its factorization.

212052315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69754085 (or 69754077 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 212052315040 its reverse (40513250212), we get a palindrome (252565565252).

The spelling of 212052315040 in words is "two hundred twelve billion, fifty-two million, three hundred fifteen thousand, forty".