1271424000 has 704 divisors, whose sum is σ = 5395433472. Its totient is φ = 258048000.

The previous prime is 1271423971. The next prime is 1271424001. The reversal of 1271424000 is 4241721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1271424001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29567979 + ... + 29568021.

It is an arithmetic number, because the mean of its divisors is an integer number (7663968).

Almost surely, 2^1271424000 is an apocalyptic number.

1271424000 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 1271424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697716736).

1271424000 is an abundant number, since it is smaller than the sum of its proper divisors (4124009472).

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

1271424000 is a wasteful number, since it uses less digits than its factorization.

1271424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1271424000 is about 35657.0329668636. The cubic root of 1271424000 is about 1083.3367310873.

Adding to 1271424000 its reverse (4241721), we get a palindrome (1275665721).

The spelling of 1271424000 in words is "one billion, two hundred seventy-one million, four hundred twenty-four thousand".