13122122010000 has 200 divisors, whose sum is σ = 44851723529184. Its totient is φ = 3293395200000.

The previous prime is 13122122009963. The next prime is 13122122010007. The reversal of 13122122010000 is 1022122131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13122122010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12354826 + ... + 13374825.

Almost surely, 2^{13122122010000} is an apocalyptic number.

13122122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122122010000 is an abundant number, since it is smaller than the sum of its proper divisors (31729601519184).

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

13122122010000 is a wasteful number, since it uses less digits than its factorization.

13122122010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25729699 (or 25729678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13122122010000 its reverse (1022122131), we get a palindrome (13123144132131).

The spelling of 13122122010000 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand".