12414150004300 has 288 divisors, whose sum is σ = 31359056891904. Its totient is φ = 4215684096000.

The previous prime is 12414150004279. The next prime is 12414150004339. The reversal of 12414150004300 is 340005141421.

It is a super-2 number, since 2×12414150004300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 95 ways as a sum of consecutive naturals, for example, 1305236545 + ... + 1305246055.

It is an arithmetic number, because the mean of its divisors is an integer number (108885614208).

Almost surely, 2^{12414150004300} is an apocalyptic number.

12414150004300 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 12414150004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679528445952).

12414150004300 is an abundant number, since it is smaller than the sum of its proper divisors (18944906887604).

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

12414150004300 is a wasteful number, since it uses less digits than its factorization.

12414150004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12414150004300 its reverse (340005141421), we get a palindrome (12754155145721).

The spelling of 12414150004300 in words is "twelve trillion, four hundred fourteen billion, one hundred fifty million, four thousand, three hundred".