1273161120 has 768 divisors, whose sum is σ = 5515776000. Its totient is φ = 243855360.

The previous prime is 1273161049. The next prime is 1273161121. The reversal of 1273161120 is 211613721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1273161121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34409742 + ... + 34409778.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^1273161120 is an apocalyptic number.

1273161120 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 1273161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1273161120 is an abundant number, since it is smaller than the sum of its proper divisors (4242614880).

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

1273161120 is a wasteful number, since it uses less digits than its factorization.

1273161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1273161120 is about 35681.3833812536. The cubic root of 1273161120 is about 1083.8298866598.

Adding to 1273161120 its reverse (211613721), we get a palindrome (1484774841).

The spelling of 1273161120 in words is "one billion, two hundred seventy-three million, one hundred sixty-one thousand, one hundred twenty".