1150122045200 has 180 divisors, whose sum is σ = 2908815362220. Its totient is φ = 436688179200.

The previous prime is 1150122045173. The next prime is 1150122045209. The reversal of 1150122045200 is 25402210511.

It can be written as a sum of positive squares in 18 ways, for example, as 683704074496 + 466417970704 = 826864^2 + 682948^2 .

It is not an unprimeable number, because it can be changed into a prime (1150122045209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24855686 + ... + 24901914.

Almost surely, 2^{1150122045200} is an apocalyptic number.

1150122045200 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 1150122045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454407681110).

1150122045200 is an abundant number, since it is smaller than the sum of its proper divisors (1758693317020).

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

1150122045200 is a wasteful number, since it uses less digits than its factorization.

1150122045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46366 (or 46314 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 1150122045200 its reverse (25402210511), we get a palindrome (1175524255711).

The spelling of 1150122045200 in words is "one trillion, one hundred fifty billion, one hundred twenty-two million, forty-five thousand, two hundred".