1301196960 has 432 divisors, whose sum is σ = 5364436896. Its totient is φ = 296980992.

The previous prime is 1301196937. The next prime is 1301196961. The reversal of 1301196960 is 696911031.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1301196960² = 3386227057426483200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1301196961) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1904779 + ... + 1905461.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^1301196960 is an apocalyptic number.

1301196960 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 1301196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682218448).

1301196960 is an abundant number, since it is smaller than the sum of its proper divisors (4063239936).

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

1301196960 is an equidigital number, since it uses as much as digits as its factorization.

1301196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1301196960 is about 36072.1077842701. The cubic root of 1301196960 is about 1091.7277427774.

The spelling of 1301196960 in words is "one billion, three hundred one million, one hundred ninety-six thousand, nine hundred sixty".