212365470420 has 216 divisors, whose sum is σ = 666903346200. Its totient is φ = 54694656000.

The previous prime is 212365470419. The next prime is 212365470431. The reversal of 212365470420 is 24074563212.

212365470420 is a `hidden beast` number, since 2 + 123 + 65 + 470 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 52968101904 + 159397368516 = 230148^2 + 399246^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30557106 + ... + 30564054.

Almost surely, 2^212365470420 is an apocalyptic number.

212365470420 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 212365470420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333451673100).

212365470420 is an abundant number, since it is smaller than the sum of its proper divisors (454537875780).

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

212365470420 is a wasteful number, since it uses less digits than its factorization.

212365470420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 212365470420 in words is "two hundred twelve billion, three hundred sixty-five million, four hundred seventy thousand, four hundred twenty".