1272066120 has 192 divisors, whose sum is σ = 4617587520. Its totient is φ = 313092864.

The previous prime is 1272066113. The next prime is 1272066127. The reversal of 1272066120 is 216602721.

1272066120 is a `hidden beast` number, since 1 + 27 + 20 + 6 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1272066113) and next prime (1272066127).

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

It is not an unprimeable number, because it can be changed into a prime (1272066127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121327 + ... + 131393.

It is an arithmetic number, because the mean of its divisors is an integer number (24049935).

Almost surely, 2^1272066120 is an apocalyptic number.

1272066120 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 1272066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308793760).

1272066120 is an abundant number, since it is smaller than the sum of its proper divisors (3345521400).

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

1272066120 is a wasteful number, since it uses less digits than its factorization.

1272066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1272066120 is about 35666.0359445790. The cubic root of 1272066120 is about 1083.5190765276.

Adding to 1272066120 its reverse (216602721), we get a palindrome (1488668841).

The spelling of 1272066120 in words is "one billion, two hundred seventy-two million, sixty-six thousand, one hundred twenty".