212000066197632 has 320 divisors, whose sum is σ = 664179319267200. Its totient is φ = 66940853815296.

The previous prime is 212000066197609. The next prime is 212000066197723. The reversal of 212000066197632 is 236791660000212.

212000066197632 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 0 + 0 + 6 + 6 + 1 + 9 + 7 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2265952198 + ... + 2266045754.

It is an arithmetic number, because the mean of its divisors is an integer number (2075560372710).

Almost surely, 2^{212000066197632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000066197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332089659633600).

212000066197632 is an abundant number, since it is smaller than the sum of its proper divisors (452179253069568).

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

212000066197632 is a wasteful number, since it uses less digits than its factorization.

212000066197632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105105 (or 105084 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 212000066197632 in words is "two hundred twelve trillion, sixty-six million, one hundred ninety-seven thousand, six hundred thirty-two".