212643105226200 has 288 divisors, whose sum is σ = 779146786257840. Its totient is φ = 51543241651200.

The previous prime is 212643105226159. The next prime is 212643105226229. The reversal of 212643105226200 is 2622501346212.

212643105226200 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 4 + 3 + 1 + 0 + 5 + 22 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154805614 + ... + 156173186.

Almost surely, 2^{212643105226200} is an apocalyptic number.

212643105226200 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 212643105226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389573393128920).

212643105226200 is an abundant number, since it is smaller than the sum of its proper divisors (566503681031640).

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

212643105226200 is a wasteful number, since it uses less digits than its factorization.

212643105226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375459 (or 1375447 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212643105226200 in words is "two hundred twelve trillion, six hundred forty-three billion, one hundred five million, two hundred twenty-six thousand, two hundred".