1263135120 has 80 divisors (see below), whose sum is σ = 4216938432. Its totient is φ = 310924800.

The previous prime is 1263135089. The next prime is 1263135151. The reversal of 1263135120 is 215313621.

It is an interprime number because it is at equal distance from previous prime (1263135089) and next prime (1263135151).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199306 + ... + 205545.

Almost surely, 2^1263135120 is an apocalyptic number.

1263135120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263135120 is an abundant number, since it is smaller than the sum of its proper divisors (2953803312).

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

1263135120 is a wasteful number, since it uses less digits than its factorization.

1263135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404880 (or 404874 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1263135120 is about 35540.6122625933. The cubic root of 1263135120 is about 1080.9773731223.

Adding to 1263135120 its reverse (215313621), we get a palindrome (1478448741).

It can be divided in two parts, 1263135 and 120, that added together give a triangular number (1263255 = T₁₅₈₉).

The spelling of 1263135120 in words is "one billion, two hundred sixty-three million, one hundred thirty-five thousand, one hundred twenty".