2014122234300 has 432 divisors, whose sum is σ = 6493035106656. Its totient is φ = 481634560000.

The previous prime is 2014122234283. The next prime is 2014122234343. The reversal of 2014122234300 is 34322214102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1162216234 + ... + 1162217966.

It is an arithmetic number, because the mean of its divisors is an integer number (15030173858).

Almost surely, 2^{2014122234300} is an apocalyptic number.

2014122234300 is a gapful number since it is divisible by the number (20) 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 2014122234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246517553328).

2014122234300 is an abundant number, since it is smaller than the sum of its proper divisors (4478912872356).

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

2014122234300 is a wasteful number, since it uses less digits than its factorization.

2014122234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2014122234300 its reverse (34322214102), we get a palindrome (2048444448402).

It can be divided in two parts, 2014122 and 234300, that added together give a palindrome (2248422).

The spelling of 2014122234300 in words is "two trillion, fourteen billion, one hundred twenty-two million, two hundred thirty-four thousand, three hundred".