10208131200 has 288 divisors, whose sum is σ = 37276565040. Its totient is φ = 2658539520.

The previous prime is 10208131177. The next prime is 10208131261. The reversal of 10208131200 is 213180201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 1234279 + ... + 1242521.

Almost surely, 2^10208131200 is an apocalyptic number.

10208131200 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 10208131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638282520).

10208131200 is an abundant number, since it is smaller than the sum of its proper divisors (27068433840).

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

10208131200 is a wasteful number, since it uses less digits than its factorization.

10208131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10208131200 in words is "ten billion, two hundred eight million, one hundred thirty-one thousand, two hundred".