13412003110000 has 800 divisors, whose sum is σ = 37893926062080. Its totient is φ = 4549248000000.

The previous prime is 13412003109979. The next prime is 13412003110001. The reversal of 13412003110000 is 1130021431.

13412003110000 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412003110001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18653689641 + ... + 18653690359.

Almost surely, 2^{13412003110000} is an apocalyptic number.

13412003110000 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 13412003110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946963031040).

13412003110000 is an abundant number, since it is smaller than the sum of its proper divisors (24481922952080).

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

13412003110000 is a wasteful number, since it uses less digits than its factorization.

13412003110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13412003110000 its reverse (1130021431), we get a palindrome (13413133131431).

The spelling of 13412003110000 in words is "thirteen trillion, four hundred twelve billion, three million, one hundred ten thousand".