1247628312 has 256 divisors, whose sum is σ = 4212864000. Its totient is φ = 334181376.

The previous prime is 1247628287. The next prime is 1247628323. The reversal of 1247628312 is 2138267421.

It is a happy number.

1247628312 is a `hidden beast` number, since 1 + 24 + 7 + 628 + 3 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3935578 + ... + 3935894.

It is an arithmetic number, because the mean of its divisors is an integer number (16456500).

Almost surely, 2^1247628312 is an apocalyptic number.

1247628312 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 1247628312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106432000).

1247628312 is an abundant number, since it is smaller than the sum of its proper divisors (2965235688).

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

1247628312 is a wasteful number, since it uses less digits than its factorization.

1247628312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1247628312 is about 35321.7824012322. The cubic root of 1247628312 is about 1076.5356274281.

The spelling of 1247628312 in words is "one billion, two hundred forty-seven million, six hundred twenty-eight thousand, three hundred twelve".