114435230025120 has 48 divisors (see below), whose sum is σ = 360470974580640. Its totient is φ = 30516061339904.

The previous prime is 114435230025101. The next prime is 114435230025161. The reversal of 114435230025120 is 21520032534411.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119203364130 + ... + 119203365089.

It is an arithmetic number, because the mean of its divisors is an integer number (7509811970430).

Almost surely, 2^{114435230025120} is an apocalyptic number.

114435230025120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114435230025120 is an abundant number, since it is smaller than the sum of its proper divisors (246035744555520).

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

114435230025120 is a wasteful number, since it uses less digits than its factorization.

114435230025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238406729237 (or 238406729229 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 114435230025120 its reverse (21520032534411), we get a palindrome (135955262559531).

The spelling of 114435230025120 in words is "one hundred fourteen trillion, four hundred thirty-five billion, two hundred thirty million, twenty-five thousand, one hundred twenty".