212644315252020 has 192 divisors, whose sum is σ = 612222944256000. Its totient is φ = 55107038707200.

The previous prime is 212644315251971. The next prime is 212644315252027. The reversal of 212644315252020 is 20252513446212.

212644315252020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212644315252020² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212644315252020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212644315252027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6634544995 + ... + 6634577045.

It is an arithmetic number, because the mean of its divisors is an integer number (3188661168000).

Almost surely, 2^{212644315252020} is an apocalyptic number.

212644315252020 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 212644315252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306111472128000).

212644315252020 is an abundant number, since it is smaller than the sum of its proper divisors (399578629003980).

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

212644315252020 is a wasteful number, since it uses less digits than its factorization.

212644315252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35558 (or 35556 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 212644315252020 its reverse (20252513446212), we get a palindrome (232896828698232).

The spelling of 212644315252020 in words is "two hundred twelve trillion, six hundred forty-four billion, three hundred fifteen million, two hundred fifty-two thousand, twenty".