10208412453120 has 1152 divisors, whose sum is σ = 39464721580032. Its totient is φ = 2199719116800.

The previous prime is 10208412453091. The next prime is 10208412453131. The reversal of 10208412453120 is 2135421480201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10848471850 + ... + 10848472790.

It is an arithmetic number, because the mean of its divisors is an integer number (34257570816).

Almost surely, 2^{10208412453120} is an apocalyptic number.

10208412453120 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 10208412453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732360790016).

10208412453120 is an abundant number, since it is smaller than the sum of its proper divisors (29256309126912).

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

10208412453120 is a wasteful number, since it uses less digits than its factorization.

10208412453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 10208412453120 in words is "ten trillion, two hundred eight billion, four hundred twelve million, four hundred fifty-three thousand, one hundred twenty".