1414112111412 has 192 divisors, whose sum is σ = 4453427478528. Its totient is φ = 337272192000.

The previous prime is 1414112111369. The next prime is 1414112111431. The reversal of 1414112111412 is 2141112114141.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986112 + ... + 2602472.

It is an arithmetic number, because the mean of its divisors is an integer number (23194934784).

Almost surely, 2^{1414112111412} is an apocalyptic number.

1414112111412 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 1414112111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226713739264).

1414112111412 is an abundant number, since it is smaller than the sum of its proper divisors (3039315367116).

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

1414112111412 is a wasteful number, since it uses less digits than its factorization.

1414112111412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616590 (or 616588 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

Adding to 1414112111412 its reverse (2141112114141), we get a palindrome (3555224225553).

The spelling of 1414112111412 in words is "one trillion, four hundred fourteen billion, one hundred twelve million, one hundred eleven thousand, four hundred twelve".