1085118122400 has 576 divisors, whose sum is σ = 4097257758720. Its totient is φ = 247245926400.

The previous prime is 1085118122371. The next prime is 1085118122411. The reversal of 1085118122400 is 42218115801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22221211 + ... + 22269989.

It is an arithmetic number, because the mean of its divisors is an integer number (7113294720).

Almost surely, 2^{1085118122400} is an apocalyptic number.

1085118122400 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 1085118122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048628879360).

1085118122400 is an abundant number, since it is smaller than the sum of its proper divisors (3012139636320).

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

1085118122400 is a wasteful number, since it uses less digits than its factorization.

1085118122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48869 (or 48856 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The spelling of 1085118122400 in words is "one trillion, eighty-five billion, one hundred eighteen million, one hundred twenty-two thousand, four hundred".