114024325012000 has 576 divisors, whose sum is σ = 321777410782464. Its totient is φ = 39554898739200.

The previous prime is 114024325011997. The next prime is 114024325012019. The reversal of 114024325012000 is 210523420411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6745795549 + ... + 6745812451.

It is an arithmetic number, because the mean of its divisors is an integer number (558641338164).

Almost surely, 2^{114024325012000} is an apocalyptic number.

114024325012000 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 114024325012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160888705391232).

114024325012000 is an abundant number, since it is smaller than the sum of its proper divisors (207753085770464).

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

114024325012000 is a wasteful number, since it uses less digits than its factorization.

114024325012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558 (or 17527 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114024325012000 its reverse (210523420411), we get a palindrome (114234848432411).

The spelling of 114024325012000 in words is "one hundred fourteen trillion, twenty-four billion, three hundred twenty-five million, twelve thousand".