212506666240 has 432 divisors, whose sum is σ = 577648528128. Its totient is φ = 74815488000.

The previous prime is 212506666217. The next prime is 212506666241. The reversal of 212506666240 is 42666605212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 212506666193 and 212506666202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212506666241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784157305 + ... + 784157575.

Almost surely, 2^212506666240 is an apocalyptic number.

212506666240 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 212506666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288824264064).

212506666240 is an abundant number, since it is smaller than the sum of its proper divisors (365141861888).

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

212506666240 is a wasteful number, since it uses less digits than its factorization.

212506666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 212506666240 in words is "two hundred twelve billion, five hundred six million, six hundred sixty-six thousand, two hundred forty".