1201313468160 has 864 divisors, whose sum is σ = 4864079001600. Its totient is φ = 271087534080.

The previous prime is 1201313468143. The next prime is 1201313468161. The reversal of 1201313468160 is 618643131021.

1201313468160 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 31 + 3 + 468 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201313468161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88201831 + ... + 88215449.

Almost surely, 2^{1201313468160} is an apocalyptic number.

1201313468160 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 1201313468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432039500800).

1201313468160 is an abundant number, since it is smaller than the sum of its proper divisors (3662765533440).

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

1201313468160 is a wasteful number, since it uses less digits than its factorization.

1201313468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 1201313468160 its reverse (618643131021), we get a palindrome (1819956599181).

The spelling of 1201313468160 in words is "one trillion, two hundred one billion, three hundred thirteen million, four hundred sixty-eight thousand, one hundred sixty".