14121133300 has 72 divisors (see below), whose sum is σ = 32539714200. Its totient is φ = 5300736000.

The previous prime is 14121133267. The next prime is 14121133303. The reversal of 14121133300 is 333112141.

It can be written as a sum of positive squares in 12 ways, for example, as 254657764 + 13866475536 = 15958^2 + 117756^2 .

It is a super-3 number, since 3×14121133300³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581400 + ... + 605200.

It is an arithmetic number, because the mean of its divisors is an integer number (451940475).

Almost surely, 2^14121133300 is an apocalyptic number.

14121133300 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 14121133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269857100).

14121133300 is an abundant number, since it is smaller than the sum of its proper divisors (18418580900).

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

14121133300 is a wasteful number, since it uses less digits than its factorization.

14121133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 14121133300 its reverse (333112141), we get a palindrome (14454245441).

The spelling of 14121133300 in words is "fourteen billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred".