212687014392720 has 1280 divisors, whose sum is σ = 881278554562560. Its totient is φ = 46131860275200.

The previous prime is 212687014392707. The next prime is 212687014392737. The reversal of 212687014392720 is 27293410786212.

212687014392720 is a `hidden beast` number, since 2 + 1 + 268 + 70 + 1 + 43 + 9 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6424214407 + ... + 6424247513.

It is an arithmetic number, because the mean of its divisors is an integer number (688498870752).

Almost surely, 2^{212687014392720} is an apocalyptic number.

212687014392720 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 212687014392720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440639277281280).

212687014392720 is an abundant number, since it is smaller than the sum of its proper divisors (668591540169840).

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

212687014392720 is a wasteful number, since it uses less digits than its factorization.

212687014392720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33461 (or 33449 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 212687014392720 in words is "two hundred twelve trillion, six hundred eighty-seven billion, fourteen million, three hundred ninety-two thousand, seven hundred twenty".