1248729120 has 72 divisors (see below), whose sum is σ = 4261293036. Its totient is φ = 332994048.

The previous prime is 1248729113. The next prime is 1248729187. The reversal of 1248729120 is 219278421.

It can be written as a sum of positive squares in 2 ways, for example, as 1086625296 + 162103824 = 32964^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432147 + ... + 435026.

Almost surely, 2^1248729120 is an apocalyptic number.

1248729120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248729120 is an abundant number, since it is smaller than the sum of its proper divisors (3012563916).

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

1248729120 is a wasteful number, since it uses less digits than its factorization.

1248729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867194 (or 867183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1248729120 is about 35337.3615313877. The cubic root of 1248729120 is about 1076.8521508287.

The spelling of 1248729120 in words is "one billion, two hundred forty-eight million, seven hundred twenty-nine thousand, one hundred twenty".