1121464439200 has 576 divisors, whose sum is σ = 3292074793728. Its totient is φ = 365078937600.

The previous prime is 1121464439149. The next prime is 1121464439201. The reversal of 1121464439200 is 29344641211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121464439200.

It is not an unprimeable number, because it can be changed into a prime (1121464439201) by changing a digit.

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, 1910501307 + ... + 1910501893.

It is an arithmetic number, because the mean of its divisors is an integer number (5715407628).

Almost surely, 2^{1121464439200} is an apocalyptic number.

1121464439200 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 1121464439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646037396864).

1121464439200 is an abundant number, since it is smaller than the sum of its proper divisors (2170610354528).

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

1121464439200 is a wasteful number, since it uses less digits than its factorization.

1121464439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1121464439200 in words is "one trillion, one hundred twenty-one billion, four hundred sixty-four million, four hundred thirty-nine thousand, two hundred".