13120414000224 has 24 divisors (see below), whose sum is σ = 34441086750840. Its totient is φ = 4373471333376.

The previous prime is 13120414000219. The next prime is 13120414000241. The reversal of 13120414000224 is 42200041402131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13120414000194 and 13120414000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68335489489 + ... + 68335489680.

It is an arithmetic number, because the mean of its divisors is an integer number (1435045281285).

Almost surely, 2^{13120414000224} is an apocalyptic number.

It is an amenable number.

13120414000224 is an abundant number, since it is smaller than the sum of its proper divisors (21320672750616).

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

13120414000224 is a wasteful number, since it uses less digits than its factorization.

13120414000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136670979182 (or 136670979174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13120414000224 its reverse (42200041402131), we get a palindrome (55320455402355).

The spelling of 13120414000224 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, two hundred twenty-four", and thus it is an aban number.