1212642557568 has 768 divisors, whose sum is σ = 3940855027200. Its totient is φ = 355559473152.

The previous prime is 1212642557521. The next prime is 1212642557579. The reversal of 1212642557568 is 8657552462121.

1212642557568 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 4 + 2 + 5 + 575 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5204474380 + ... + 5204474612.

It is an arithmetic number, because the mean of its divisors is an integer number (5131321650).

Almost surely, 2^{1212642557568} is an apocalyptic number.

1212642557568 is a gapful number since it is divisible by the number (18) 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 1212642557568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970427513600).

1212642557568 is an abundant number, since it is smaller than the sum of its proper divisors (2728212469632).

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

1212642557568 is a wasteful number, since it uses less digits than its factorization.

1212642557568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 1212642557568 in words is "one trillion, two hundred twelve billion, six hundred forty-two million, five hundred fifty-seven thousand, five hundred sixty-eight".