13200373122048 has 1408 divisors, whose sum is σ = 48759626465280. Its totient is φ = 3488226508800.

The previous prime is 13200373122031. The next prime is 13200373122067. The reversal of 13200373122048 is 84022137300231.

13200373122048 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 373 + 1 + 220 + 48 = 666.

It is a super-2 number, since 2×13200373122048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11177284018 + ... + 11177285198.

Almost surely, 2^{13200373122048} is an apocalyptic number.

13200373122048 is a gapful number since it is divisible by the number (18) 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 13200373122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379813232640).

13200373122048 is an abundant number, since it is smaller than the sum of its proper divisors (35559253343232).

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

13200373122048 is an equidigital number, since it uses as much as digits as its factorization.

13200373122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13200373122048 in words is "thirteen trillion, two hundred billion, three hundred seventy-three million, one hundred twenty-two thousand, forty-eight".