1272614112 has 576 divisors, whose sum is σ = 4890654720. Its totient is φ = 314772480.

The previous prime is 1272614107. The next prime is 1272614113. The reversal of 1272614112 is 2114162721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272614113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27076873 + ... + 27076919.

It is an arithmetic number, because the mean of its divisors is an integer number (8490720).

Almost surely, 2^1272614112 is an apocalyptic number.

1272614112 is a gapful number since it is divisible by the number (12) 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 1272614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445327360).

1272614112 is an abundant number, since it is smaller than the sum of its proper divisors (3618040608).

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

1272614112 is a wasteful number, since it uses less digits than its factorization.

1272614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1272614112 is about 35673.7173840911. The cubic root of 1272614112 is about 1083.6746435313.

Adding to 1272614112 its reverse (2114162721), we get a palindrome (3386776833).

The spelling of 1272614112 in words is "one billion, two hundred seventy-two million, six hundred fourteen thousand, one hundred twelve".