1130051112480 has 144 divisors (see below), whose sum is σ = 3865085864640. Its totient is φ = 300660355584.

The previous prime is 1130051112457. The next prime is 1130051112481. The reversal of 1130051112480 is 842111500311.

1130051112480 is a `hidden beast` number, since 1 + 1 + 300 + 5 + 111 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1130051112480² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130051112481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261642 + ... + 1525961.

It is an arithmetic number, because the mean of its divisors is an integer number (26840874060).

Almost surely, 2^{1130051112480} is an apocalyptic number.

1130051112480 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 1130051112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932542932320).

1130051112480 is an abundant number, since it is smaller than the sum of its proper divisors (2735034752160).

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

1130051112480 is a wasteful number, since it uses less digits than its factorization.

1130051112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788063 (or 1788052 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1130051112480 its reverse (842111500311), we get a palindrome (1972162612791).

The spelling of 1130051112480 in words is "one trillion, one hundred thirty billion, fifty-one million, one hundred twelve thousand, four hundred eighty".