10799121200 has 240 divisors, whose sum is σ = 31979619840. Its totient is φ = 3421440000.

The previous prime is 10799121173. The next prime is 10799121233. The reversal of 10799121200 is 212199701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178725 + ... + 2183675.

It is an arithmetic number, because the mean of its divisors is an integer number (133248416).

Almost surely, 2^10799121200 is an apocalyptic number.

10799121200 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 10799121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989809920).

10799121200 is an abundant number, since it is smaller than the sum of its proper divisors (21180498640).

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

10799121200 is a wasteful number, since it uses less digits than its factorization.

10799121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 10799121200 in words is "ten billion, seven hundred ninety-nine million, one hundred twenty-one thousand, two hundred".