1302118364160 has 440 divisors, whose sum is σ = 4868963675136. Its totient is φ = 332132106240.

The previous prime is 1302118364143. The next prime is 1302118364161. The reversal of 1302118364160 is 614638112031.

1302118364160 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 1 + 8 + 3 + 641 + 6 + 0 = 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 (1302118364161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9470305 + ... + 9606815.

Almost surely, 2^{1302118364160} is an apocalyptic number.

1302118364160 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 1302118364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434481837568).

1302118364160 is an abundant number, since it is smaller than the sum of its proper divisors (3566845310976).

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

1302118364160 is a wasteful number, since it uses less digits than its factorization.

1302118364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136571 (or 136544 counting only the distinct ones).

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

The spelling of 1302118364160 in words is "one trillion, three hundred two billion, one hundred eighteen million, three hundred sixty-four thousand, one hundred sixty".