13122330012000 has 576 divisors, whose sum is σ = 53478862295040. Its totient is φ = 3013739136000.

The previous prime is 13122330011957. The next prime is 13122330012013. The reversal of 13122330012000 is 21003322131.

13122330012000 is a `hidden beast` number, since 1 + 312 + 2 + 330 + 0 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6651969 + ... + 8396031.

It is an arithmetic number, because the mean of its divisors is an integer number (92845247040).

Almost surely, 2^{13122330012000} is an apocalyptic number.

13122330012000 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 13122330012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26739431147520).

13122330012000 is an abundant number, since it is smaller than the sum of its proper divisors (40356532283040).

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

13122330012000 is a wasteful number, since it uses less digits than its factorization.

13122330012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744124 (or 1744103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13122330012000 its reverse (21003322131), we get a palindrome (13143333334131).

The spelling of 13122330012000 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty million, twelve thousand".