1162107716120 has 256 divisors, whose sum is σ = 3034368691200. Its totient is φ = 397188126720.

The previous prime is 1162107716083. The next prime is 1162107716131. The reversal of 1162107716120 is 216177012611.

It is a Cunningham number, because it is equal to 1078011²-1.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56046155 + ... + 56066885.

It is an arithmetic number, because the mean of its divisors is an integer number (11853002700).

Almost surely, 2^{1162107716120} is an apocalyptic number.

1162107716120 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 1162107716120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517184345600).

1162107716120 is an abundant number, since it is smaller than the sum of its proper divisors (1872260975080).

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

1162107716120 is a wasteful number, since it uses less digits than its factorization.

1162107716120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20930 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The spelling of 1162107716120 in words is "one trillion, one hundred sixty-two billion, one hundred seven million, seven hundred sixteen thousand, one hundred twenty".