1151282053120 has 144 divisors (see below), whose sum is σ = 2883237456960. Its totient is φ = 440484757504.

The previous prime is 1151282053099. The next prime is 1151282053127. The reversal of 1151282053120 is 213502821511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1151282053127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15035091 + ... + 15111469.

It is an arithmetic number, because the mean of its divisors is an integer number (20022482340).

Almost surely, 2^{1151282053120} is an apocalyptic number.

1151282053120 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 1151282053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441618728480).

1151282053120 is an abundant number, since it is smaller than the sum of its proper divisors (1731955403840).

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

1151282053120 is an frugal number, since it uses more digits than its factorization.

1151282053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76441 (or 76409 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

Adding to 1151282053120 its reverse (213502821511), we get a palindrome (1364784874631).

The spelling of 1151282053120 in words is "one trillion, one hundred fifty-one billion, two hundred eighty-two million, fifty-three thousand, one hundred twenty".