212742307974560 has 192 divisors, whose sum is σ = 618632967359232. Its totient is φ = 67324666945536.

The previous prime is 212742307974517. The next prime is 212742307974587. The reversal of 212742307974560 is 65479703247212.

It is a self number, because there is not a number n which added to its sum of digits gives 212742307974560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208032812 + ... + 209052948.

It is an arithmetic number, because the mean of its divisors is an integer number (3222046704996).

Almost surely, 2^{212742307974560} is an apocalyptic number.

212742307974560 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 212742307974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309316483679616).

212742307974560 is an abundant number, since it is smaller than the sum of its proper divisors (405890659384672).

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

212742307974560 is a wasteful number, since it uses less digits than its factorization.

212742307974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034495 (or 1034487 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 59.

The spelling of 212742307974560 in words is "two hundred twelve trillion, seven hundred forty-two billion, three hundred seven million, nine hundred seventy-four thousand, five hundred sixty".