114212312322400 has 144 divisors (see below), whose sum is σ = 280425413687328. Its totient is φ = 45422125056000.

The previous prime is 114212312322391. The next prime is 114212312322463. The reversal of 114212312322400 is 4223213212411.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 648760789 + ... + 648936811.

It is an arithmetic number, because the mean of its divisors is an integer number (1947398706162).

Almost surely, 2^{114212312322400} is an apocalyptic number.

114212312322400 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 114212312322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140212706843664).

114212312322400 is an abundant number, since it is smaller than the sum of its proper divisors (166213101364928).

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

114212312322400 is a wasteful number, since it uses less digits than its factorization.

114212312322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180705 (or 180692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114212312322400 its reverse (4223213212411), we get a palindrome (118435525534811).

The spelling of 114212312322400 in words is "one hundred fourteen trillion, two hundred twelve billion, three hundred twelve million, three hundred twenty-two thousand, four hundred".