1278231200 has 72 divisors (see below), whose sum is σ = 3140666172. Its totient is φ = 507985920.

The previous prime is 1278231191. The next prime is 1278231281. The reversal of 1278231200 is 21328721.

It can be written as a sum of positive squares in 6 ways, for example, as 428158864 + 850072336 = 20692^2 + 29156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1278231200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120512 + ... + 130688.

Almost surely, 2^1278231200 is an apocalyptic number.

1278231200 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 1278231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570333086).

1278231200 is an abundant number, since it is smaller than the sum of its proper divisors (1862434972).

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

1278231200 is a wasteful number, since it uses less digits than its factorization.

1278231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1278231200 is about 35752.3593627050. The cubic root of 1278231200 is about 1085.2666846420.

Adding to 1278231200 its reverse (21328721), we get a palindrome (1299559921).

The spelling of 1278231200 in words is "one billion, two hundred seventy-eight million, two hundred thirty-one thousand, two hundred".