114221340412300 has 144 divisors (see below), whose sum is σ = 271105038167040. Its totient is φ = 41425750432000.

The previous prime is 114221340412271. The next prime is 114221340412367. The reversal of 114221340412300 is 3214043122411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119118671 + ... + 1119220729.

It is an arithmetic number, because the mean of its divisors is an integer number (1882673876160).

Almost surely, 2^{114221340412300} is an apocalyptic number.

114221340412300 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 114221340412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135552519083520).

114221340412300 is an abundant number, since it is smaller than the sum of its proper divisors (156883697754740).

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

114221340412300 is a wasteful number, since it uses less digits than its factorization.

114221340412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104752 (or 104745 counting only the distinct ones).

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

Adding to 114221340412300 its reverse (3214043122411), we get a palindrome (117435383534711).

The spelling of 114221340412300 in words is "one hundred fourteen trillion, two hundred twenty-one billion, three hundred forty million, four hundred twelve thousand, three hundred".