1162102012032 has 128 divisors (see below), whose sum is σ = 3333345442560. Its totient is φ = 356594982912.

The previous prime is 1162102012013. The next prime is 1162102012037. The reversal of 1162102012032 is 2302102012611.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1162102012037) 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 15 ways as a sum of consecutive naturals, for example, 1514908 + ... + 2149220.

It is an arithmetic number, because the mean of its divisors is an integer number (26041761270).

Almost surely, 2^{1162102012032} is an apocalyptic number.

1162102012032 is a gapful number since it is divisible by the number (12) 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 1162102012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666672721280).

1162102012032 is an abundant number, since it is smaller than the sum of its proper divisors (2171243430528).

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

1162102012032 is a wasteful number, since it uses less digits than its factorization.

1162102012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634710 (or 634698 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1162102012032 its reverse (2302102012611), we get a palindrome (3464204024643).

The spelling of 1162102012032 in words is "one trillion, one hundred sixty-two billion, one hundred two million, twelve thousand, thirty-two".