114912000000000 has 2400 divisors, whose sum is σ = 511984322572800. Its totient is φ = 24883200000000.

The previous prime is 114911999999983. The next prime is 114912000000023. The reversal of 114912000000000 is 219411.

114912000000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 114912000000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6047999999991 + ... + 6048000000009.

It is an arithmetic number, because the mean of its divisors is an integer number (213326801072).

Almost surely, 2^{114912000000000} is an apocalyptic number.

114912000000000 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 114912000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255992161286400).

114912000000000 is an abundant number, since it is smaller than the sum of its proper divisors (397072322572800).

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

114912000000000 is an frugal number, since it uses more digits than its factorization.

114912000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 114912000000000 its reverse (219411), we get a palindrome (114912000219411).

The spelling of 114912000000000 in words is "one hundred fourteen trillion, nine hundred twelve billion", and thus it is an aban number.