1271212800 has 432 divisors, whose sum is σ = 4939350528. Its totient is φ = 283852800.

The previous prime is 1271212799. The next prime is 1271212819. The reversal of 1271212800 is 82121721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745369 + ... + 2745831.

Almost surely, 2^1271212800 is an apocalyptic number.

1271212800 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 1271212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469675264).

1271212800 is an abundant number, since it is smaller than the sum of its proper divisors (3668137728).

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

1271212800 is a wasteful number, since it uses less digits than its factorization.

1271212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1271212800 is about 35654.0712962770. The cubic root of 1271212800 is about 1083.2767423430.

It can be divided in two parts, 127121 and 2800, that added together give a palindrome (129921).

The spelling of 1271212800 in words is "one billion, two hundred seventy-one million, two hundred twelve thousand, eight hundred".