12414203044000 has 192 divisors, whose sum is σ = 30638015789472. Its totient is φ = 4943511552000.

The previous prime is 12414203043967. The next prime is 12414203044031. The reversal of 12414203044000 is 44030241421.

It can be written as a sum of positive squares in 16 ways, for example, as 296201531536 + 12118001512464 = 544244^2 + 3481092^2 .

It is a super-2 number, since 2×12414203044000² (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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455106204 + ... + 3455109796.

Almost surely, 2^{12414203044000} is an apocalyptic number.

12414203044000 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 12414203044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319007894736).

12414203044000 is an abundant number, since it is smaller than the sum of its proper divisors (18223812745472).

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

12414203044000 is a wasteful number, since it uses less digits than its factorization.

12414203044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12414203044000 its reverse (44030241421), we get a palindrome (12458233285421).

The spelling of 12414203044000 in words is "twelve trillion, four hundred fourteen billion, two hundred three million, forty-four thousand".