212282327040 has 240 divisors, whose sum is σ = 776329395072. Its totient is φ = 48521281536.

The previous prime is 212282326999. The next prime is 212282327063. The reversal of 212282327040 is 40723282212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 212282326992 and 212282327010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658622 + ... + 1782018.

Almost surely, 2^212282327040 is an apocalyptic number.

212282327040 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 212282327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388164697536).

212282327040 is an abundant number, since it is smaller than the sum of its proper divisors (564047068032).

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

212282327040 is an equidigital number, since it uses as much as digits as its factorization.

212282327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123440 (or 123414 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 212282327040 in words is "two hundred twelve billion, two hundred eighty-two million, three hundred twenty-seven thousand, forty".