212255670900 has 576 divisors, whose sum is σ = 842466078720. Its totient is φ = 39929241600.

The previous prime is 212255670889. The next prime is 212255670901. The reversal of 212255670900 is 9076552212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212255670901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8805865 + ... + 8829935.

It is an arithmetic number, because the mean of its divisors is an integer number (1462614720).

Almost surely, 2^212255670900 is an apocalyptic number.

212255670900 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 212255670900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421233039360).

212255670900 is an abundant number, since it is smaller than the sum of its proper divisors (630210407820).

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

212255670900 is a wasteful number, since it uses less digits than its factorization.

212255670900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24144 (or 24137 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 212255670900 in words is "two hundred twelve billion, two hundred fifty-five million, six hundred seventy thousand, nine hundred".