1361218427712 has 672 divisors, whose sum is σ = 4699545876480. Its totient is φ = 374351155200.

The previous prime is 1361218427693. The next prime is 1361218427719. The reversal of 1361218427712 is 2177248121631.

It is a happy number.

1361218427712 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 218 + 427 + 7 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361218427719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607957089 + ... + 607959327.

It is an arithmetic number, because the mean of its divisors is an integer number (6993371840).

Almost surely, 2^{1361218427712} is an apocalyptic number.

1361218427712 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 1361218427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349772938240).

1361218427712 is an abundant number, since it is smaller than the sum of its proper divisors (3338327448768).

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

1361218427712 is a wasteful number, since it uses less digits than its factorization.

1361218427712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2329 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 1361218427712 in words is "one trillion, three hundred sixty-one billion, two hundred eighteen million, four hundred twenty-seven thousand, seven hundred twelve".