1120253070144 has 224 divisors, whose sum is σ = 3207847458816. Its totient is φ = 342986618880.

The previous prime is 1120253070143. The next prime is 1120253070161. The reversal of 1120253070144 is 4410703520211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120253070143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688538259 + ... + 688539885.

It is an arithmetic number, because the mean of its divisors is an integer number (14320747584).

Almost surely, 2^{1120253070144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120253070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603923729408).

1120253070144 is an abundant number, since it is smaller than the sum of its proper divisors (2087594388672).

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

1120253070144 is a wasteful number, since it uses less digits than its factorization.

1120253070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 1120253070144 its reverse (4410703520211), we get a palindrome (5530956590355).

The spelling of 1120253070144 in words is "one trillion, one hundred twenty billion, two hundred fifty-three million, seventy thousand, one hundred forty-four".