212087082240 has 720 divisors, whose sum is σ = 876654757440. Its totient is φ = 48386211840.

The previous prime is 212087082239. The next prime is 212087082253. The reversal of 212087082240 is 42280780212.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 212087082195 and 212087082204.

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 79 ways as a sum of consecutive naturals, for example, 19382691 + ... + 19393629.

It is an arithmetic number, because the mean of its divisors is an integer number (1217576052).

Almost surely, 2^212087082240 is an apocalyptic number.

212087082240 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 212087082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438327378720).

212087082240 is an abundant number, since it is smaller than the sum of its proper divisors (664567675200).

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

212087082240 is a wasteful number, since it uses less digits than its factorization.

212087082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 212087082240 in words is "two hundred twelve billion, eighty-seven million, eighty-two thousand, two hundred forty".