1000200096000 has 1152 divisors, whose sum is σ = 4291654348800. Its totient is φ = 224662118400.

The previous prime is 1000200095977. The next prime is 1000200096001. The reversal of 1000200096000 is 6900020001.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (1000200096001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 356830599 + ... + 356833401.

It is an arithmetic number, because the mean of its divisors is an integer number (3725394400).

Almost surely, 2^{1000200096000} is an apocalyptic number.

1000200096000 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 1000200096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145827174400).

1000200096000 is an abundant number, since it is smaller than the sum of its proper divisors (3291454252800).

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

1000200096000 is an equidigital number, since it uses as much as digits as its factorization.

1000200096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 1000200096000 in words is "one trillion, two hundred million, ninety-six thousand".