212919242215680 has 4608 divisors, whose sum is σ = 1046526953472000. Its totient is φ = 39569782210560.

The previous prime is 212919242215661. The next prime is 212919242215681. The reversal of 212919242215680 is 86512242919212.

It is a happy number.

212919242215680 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 1 + 92 + 422 + 1 + 56 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212919242215681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 148998769206 + ... + 148998770634.

It is an arithmetic number, because the mean of its divisors is an integer number (227110884000).

Almost surely, 2^{212919242215680} is an apocalyptic number.

212919242215680 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 212919242215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523263476736000).

212919242215680 is an abundant number, since it is smaller than the sum of its proper divisors (833607711256320).

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

212919242215680 is a wasteful number, since it uses less digits than its factorization.

212919242215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 212919242215680 in words is "two hundred twelve trillion, nine hundred nineteen billion, two hundred forty-two million, two hundred fifteen thousand, six hundred eighty".