1214827787712 has 672 divisors, whose sum is σ = 4226336837632. Its totient is φ = 301086720000.

The previous prime is 1214827787699. The next prime is 1214827787779. The reversal of 1214827787712 is 2177877284121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 368016462 + ... + 368019762.

Almost surely, 2^{1214827787712} is an apocalyptic number.

1214827787712 is a gapful number since it is divisible by the number (12) 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 1214827787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113168418816).

1214827787712 is an abundant number, since it is smaller than the sum of its proper divisors (3011509049920).

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

1214827787712 is a wasteful number, since it uses less digits than its factorization.

1214827787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3428 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 57.

The spelling of 1214827787712 in words is "one trillion, two hundred fourteen billion, eight hundred twenty-seven million, seven hundred eighty-seven thousand, seven hundred twelve".