1120225449420 has 1920 divisors, whose sum is σ = 4845935001600. Its totient is φ = 209616076800.

The previous prime is 1120225449367. The next prime is 1120225449449. The reversal of 1120225449420 is 249445220211.

1120225449420 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 2 + 544 + 94 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 5804276844 + ... + 5804277036.

It is an arithmetic number, because the mean of its divisors is an integer number (2523924480).

Almost surely, 2^{1120225449420} is an apocalyptic number.

1120225449420 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 1120225449420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422967500800).

1120225449420 is an abundant number, since it is smaller than the sum of its proper divisors (3725709552180).

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

1120225449420 is a wasteful number, since it uses less digits than its factorization.

1120225449420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1120225449420 in words is "one trillion, one hundred twenty billion, two hundred twenty-five million, four hundred forty-nine thousand, four hundred twenty".