1120221446400 has 1296 divisors, whose sum is σ = 5026768516224. Its totient is φ = 240949002240.

The previous prime is 1120221446389. The next prime is 1120221446437. The reversal of 1120221446400 is 46441220211.

1120221446400 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 2 + 14 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 185065774 + ... + 185071826.

Almost surely, 2^{1120221446400} is an apocalyptic number.

1120221446400 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 1120221446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513384258112).

1120221446400 is an abundant number, since it is smaller than the sum of its proper divisors (3906547069824).

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

1120221446400 is an equidigital number, since it uses as much as digits as its factorization.

1120221446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1120221446400 its reverse (46441220211), we get a palindrome (1166662666611).

The spelling of 1120221446400 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, four hundred forty-six thousand, four hundred".