212651322014240 has 192 divisors, whose sum is σ = 505473120472320. Its totient is φ = 84540210032640.

The previous prime is 212651322014233. The next prime is 212651322014251. The reversal of 212651322014240 is 42410223156212.

It is a self number, because there is not a number n which added to its sum of digits gives 212651322014240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50499005735 + ... + 50499009945.

It is an arithmetic number, because the mean of its divisors is an integer number (2632672502460).

Almost surely, 2^{212651322014240} is an apocalyptic number.

212651322014240 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 212651322014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252736560236160).

212651322014240 is an abundant number, since it is smaller than the sum of its proper divisors (292821798458080).

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

212651322014240 is a wasteful number, since it uses less digits than its factorization.

212651322014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 212651322014240 in words is "two hundred twelve trillion, six hundred fifty-one billion, three hundred twenty-two million, fourteen thousand, two hundred forty".