1114234214112 has 288 divisors, whose sum is σ = 3395126262528. Its totient is φ = 359240749056.

The previous prime is 1114234214087. The next prime is 1114234214129. The reversal of 1114234214112 is 2114124324111.

1114234214112 is a `hidden beast` number, since 1 + 1 + 14 + 234 + 2 + 1 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 34423728 + ... + 34456080.

It is an arithmetic number, because the mean of its divisors is an integer number (11788632856).

Almost surely, 2^{1114234214112} is an apocalyptic number.

1114234214112 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 1114234214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697563131264).

1114234214112 is an abundant number, since it is smaller than the sum of its proper divisors (2280892048416).

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

1114234214112 is a wasteful number, since it uses less digits than its factorization.

1114234214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32524 (or 32504 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1114234214112 its reverse (2114124324111), we get a palindrome (3228358538223).

The spelling of 1114234214112 in words is "one trillion, one hundred fourteen billion, two hundred thirty-four million, two hundred fourteen thousand, one hundred twelve".