1271220480 has 432 divisors, whose sum is σ = 4705157184. Its totient is φ = 328458240.

The previous prime is 1271220473. The next prime is 1271220487. The reversal of 1271220480 is 840221721.

It is an interprime number because it is at equal distance from previous prime (1271220473) and next prime (1271220487).

It is a tau number, because it is divible by the number of its divisors (432).

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 (1271220487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18973407 + ... + 18973473.

Almost surely, 2^1271220480 is an apocalyptic number.

1271220480 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 1271220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352578592).

1271220480 is an abundant number, since it is smaller than the sum of its proper divisors (3433936704).

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

1271220480 is an frugal number, since it uses more digits than its factorization.

1271220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1271220480 is about 35654.1789976996. The cubic root of 1271220480 is about 1083.2789238683.

The spelling of 1271220480 in words is "one billion, two hundred seventy-one million, two hundred twenty thousand, four hundred eighty".