13122199509804 has 1008 divisors, whose sum is σ = 46541192140800. Its totient is φ = 3207094248960.

The previous prime is 13122199509779. The next prime is 13122199509829. The reversal of 13122199509804 is 40890599122131.

It is a happy number.

13122199509804 is a `hidden beast` number, since 1 + 3 + 122 + 1 + 9 + 9 + 509 + 8 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13122199509779) and next prime (13122199509829).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3179595589 + ... + 3179599715.

It is an arithmetic number, because the mean of its divisors is an integer number (46171817600).

Almost surely, 2^{13122199509804} is an apocalyptic number.

13122199509804 is a gapful number since it is divisible by the number (14) 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 13122199509804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23270596070400).

13122199509804 is an abundant number, since it is smaller than the sum of its proper divisors (33418992630996).

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

13122199509804 is a wasteful number, since it uses less digits than its factorization.

13122199509804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 13122199509804 in words is "thirteen trillion, one hundred twenty-two billion, one hundred ninety-nine million, five hundred nine thousand, eight hundred four".