14412314205120 has 224 divisors, whose sum is σ = 49638735010368. Its totient is φ = 3521750925312.

The previous prime is 14412314205097. The next prime is 14412314205131. The reversal of 14412314205120 is 2150241321441.

14412314205120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504959 + ... + 5924478.

It is an arithmetic number, because the mean of its divisors is an integer number (221601495582).

Almost surely, 2^{14412314205120} is an apocalyptic number.

14412314205120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14412314205120 is an abundant number, since it is smaller than the sum of its proper divisors (35226420805248).

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

14412314205120 is a wasteful number, since it uses less digits than its factorization.

14412314205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429607 (or 8429597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14412314205120 its reverse (2150241321441), we get a palindrome (16562555526561).

The spelling of 14412314205120 in words is "fourteen trillion, four hundred twelve billion, three hundred fourteen million, two hundred five thousand, one hundred twenty".