1278208512 has 600 divisors, whose sum is σ = 4826051604. Its totient is φ = 334430208.

The previous prime is 1278208501. The next prime is 1278208537. The reversal of 1278208512 is 2158028721.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 171714816 = 33264^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34546158 + ... + 34546194.

Almost surely, 2^1278208512 is an apocalyptic number.

1278208512 is a gapful number since it is divisible by the number (12) 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 1278208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413025802).

1278208512 is an abundant number, since it is smaller than the sum of its proper divisors (3547843092).

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

1278208512 is an equidigital number, since it uses as much as digits as its factorization.

1278208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1278208512 is about 35752.0420675519. The cubic root of 1278208512 is about 1085.2602636137.

The spelling of 1278208512 in words is "one billion, two hundred seventy-eight million, two hundred eight thousand, five hundred twelve".