13120033449600 has 3072 divisors, whose sum is σ = 61471465574400. Its totient is φ = 2687385600000.

The previous prime is 13120033449571. The next prime is 13120033449659. The reversal of 13120033449600 is 694433002131.

13120033449600 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 0 + 3 + 3 + 4 + 49 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52271049475 + ... + 52271049725.

It is an arithmetic number, because the mean of its divisors is an integer number (20010242700).

Almost surely, 2^{13120033449600} is an apocalyptic number.

13120033449600 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 13120033449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735732787200).

13120033449600 is an abundant number, since it is smaller than the sum of its proper divisors (48351432124800).

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

13120033449600 is an equidigital number, since it uses as much as digits as its factorization.

13120033449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13120033449600 in words is "thirteen trillion, one hundred twenty billion, thirty-three million, four hundred forty-nine thousand, six hundred".