212053222560 has 48 divisors (see below), whose sum is σ = 667967652576. Its totient is φ = 56547525888.

The previous prime is 212053222531. The next prime is 212053222561. The reversal of 212053222560 is 65222350212.

212053222560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (212053222561) by changing a digit.

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, 220888294 + ... + 220889253.

It is an arithmetic number, because the mean of its divisors is an integer number (13915992762).

Almost surely, 2^212053222560 is an apocalyptic number.

212053222560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212053222560 is an abundant number, since it is smaller than the sum of its proper divisors (455914430016).

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

212053222560 is a wasteful number, since it uses less digits than its factorization.

212053222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441777565 (or 441777557 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 212053222560 its reverse (65222350212), we get a palindrome (277275572772).

The spelling of 212053222560 in words is "two hundred twelve billion, fifty-three million, two hundred twenty-two thousand, five hundred sixty".