1213127290368 has 1280 divisors, whose sum is σ = 4406632243200. Its totient is φ = 326356107264.

The previous prime is 1213127290343. The next prime is 1213127290379. The reversal of 1213127290368 is 8630927213121.

It is a happy number.

1213127290368 is a `hidden beast` number, since 1 + 2 + 13 + 1 + 272 + 9 + 0 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13630643668 + ... + 13630643756.

It is an arithmetic number, because the mean of its divisors is an integer number (3442681440).

Almost surely, 2^{1213127290368} is an apocalyptic number.

1213127290368 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 1213127290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203316121600).

1213127290368 is an abundant number, since it is smaller than the sum of its proper divisors (3193504952832).

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

1213127290368 is an frugal number, since it uses more digits than its factorization.

1213127290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1213127290368 in words is "one trillion, two hundred thirteen billion, one hundred twenty-seven million, two hundred ninety thousand, three hundred sixty-eight".