114112231441200 has 180 divisors, whose sum is σ = 396228618846528. Its totient is φ = 30412448294400.

The previous prime is 114112231441139. The next prime is 114112231441261. The reversal of 114112231441200 is 2144132211411.

114112231441200 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 12 + 2 + 3 + 1 + 441 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (114112231441139) and next prime (114112231441261).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 2835744 + ... + 15370943.

Almost surely, 2^{114112231441200} is an apocalyptic number.

114112231441200 is a gapful number since it is divisible by the number (10) 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 114112231441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198114309423264).

114112231441200 is an abundant number, since it is smaller than the sum of its proper divisors (282116387405328).

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

114112231441200 is a wasteful number, since it uses less digits than its factorization.

114112231441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18208452 (or 18208438 counting only the distinct ones).

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

Adding to 114112231441200 its reverse (2144132211411), we get a palindrome (116256363652611).

The spelling of 114112231441200 in words is "one hundred fourteen trillion, one hundred twelve billion, two hundred thirty-one million, four hundred forty-one thousand, two hundred".