13205994120 has 384 divisors, whose sum is σ = 48439347840. Its totient is φ = 3092152320.

The previous prime is 13205994101. The next prime is 13205994121. The reversal of 13205994120 is 2149950231.

13205994120 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 599 + 41 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13205994121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28278127 + ... + 28278593.

It is an arithmetic number, because the mean of its divisors is an integer number (126144135).

Almost surely, 2^13205994120 is an apocalyptic number.

13205994120 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 13205994120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24219673920).

13205994120 is an abundant number, since it is smaller than the sum of its proper divisors (35233353720).

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

13205994120 is a wasteful number, since it uses less digits than its factorization.

13205994120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13205994120 in words is "thirteen billion, two hundred five million, nine hundred ninety-four thousand, one hundred twenty".