12410410012000 has 1152 divisors, whose sum is σ = 43048006170624. Its totient is φ = 3415104000000.

The previous prime is 12410410011971. The next prime is 12410410012037. The reversal of 12410410012000 is 21001401421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1013005875 + ... + 1013018125.

It is an arithmetic number, because the mean of its divisors is an integer number (37368060912).

Almost surely, 2^{12410410012000} is an apocalyptic number.

12410410012000 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 12410410012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21524003085312).

12410410012000 is an abundant number, since it is smaller than the sum of its proper divisors (30637596158624).

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

12410410012000 is a wasteful number, since it uses less digits than its factorization.

12410410012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12410410012000 its reverse (21001401421), we get a palindrome (12431411413421).

The spelling of 12410410012000 in words is "twelve trillion, four hundred ten billion, four hundred ten million, twelve thousand".