1303121040 has 320 divisors, whose sum is σ = 4556708352. Its totient is φ = 305971200.

The previous prime is 1303121021. The next prime is 1303121047. The reversal of 1303121040 is 401213031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1303121047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7803037 + ... + 7803203.

Almost surely, 2^1303121040 is an apocalyptic number.

1303121040 is a gapful number since it is divisible by the number (10) 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 1303121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278354176).

1303121040 is an abundant number, since it is smaller than the sum of its proper divisors (3253587312).

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

1303121040 is a wasteful number, since it uses less digits than its factorization.

1303121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1303121040 is about 36098.7678460083. The cubic root of 1303121040 is about 1092.2655903792.

Adding to 1303121040 its reverse (401213031), we get a palindrome (1704334071).

The spelling of 1303121040 in words is "one billion, three hundred three million, one hundred twenty-one thousand, forty".