1303120896 has 264 divisors, whose sum is σ = 4413266496. Its totient is φ = 338042880.

The previous prime is 1303120853. The next prime is 1303120933. The reversal of 1303120896 is 6980213031.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655415 + ... + 1656201.

Almost surely, 2^1303120896 is an apocalyptic number.

1303120896 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 1303120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206633248).

1303120896 is an abundant number, since it is smaller than the sum of its proper divisors (3110145600).

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

1303120896 is a wasteful number, since it uses less digits than its factorization.

1303120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1303120896 is about 36098.7658514803. The cubic root of 1303120896 is about 1092.2655501460.

The spelling of 1303120896 in words is "one billion, three hundred three million, one hundred twenty thousand, eight hundred ninety-six".