114000112122324 has 96 divisors (see below), whose sum is σ = 283283566989696. Its totient is φ = 35557077565440.

The previous prime is 114000112122319. The next prime is 114000112122373. The reversal of 114000112122324 is 423221211000411.

It is a junction number, because it is equal to n+sod(n) for n = 114000112122294 and 114000112122303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130534212 + ... + 131404644.

It is an arithmetic number, because the mean of its divisors is an integer number (2950870489476).

Almost surely, 2^{114000112122324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114000112122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141641783494848).

114000112122324 is an abundant number, since it is smaller than the sum of its proper divisors (169283454867372).

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

114000112122324 is a wasteful number, since it uses less digits than its factorization.

114000112122324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874185 (or 874183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114000112122324 its reverse (423221211000411), we get a palindrome (537221323122735).

The spelling of 114000112122324 in words is "one hundred fourteen trillion, one hundred twelve million, one hundred twenty-two thousand, three hundred twenty-four".