1207128096 has 240 divisors, whose sum is σ = 3729293568. Its totient is φ = 382579200.

The previous prime is 1207128077. The next prime is 1207128101. The reversal of 1207128096 is 6908217021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1207128096.

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 39 ways as a sum of consecutive naturals, for example, 6669126 + ... + 6669306.

Almost surely, 2^1207128096 is an apocalyptic number.

1207128096 is a gapful number since it is divisible by the number (16) 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 1207128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784).

1207128096 is an abundant number, since it is smaller than the sum of its proper divisors (2522165472).

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

1207128096 is a wasteful number, since it uses less digits than its factorization.

1207128096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1207128096 is about 34743.7490205073. The cubic root of 1207128096 is about 1064.7585090226.

The spelling of 1207128096 in words is "one billion, two hundred seven million, one hundred twenty-eight thousand, ninety-six".