1601161116012 has 96 divisors (see below), whose sum is σ = 4208595148800. Its totient is φ = 526351378176.

The previous prime is 1601161115999. The next prime is 1601161116043. The reversal of 1601161116012 is 2106111611061.

1601161116012 is a `hidden beast` number, since 16 + 0 + 11 + 611 + 16 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7254388 + ... + 7471844.

It is an arithmetic number, because the mean of its divisors is an integer number (43839532800).

Almost surely, 2^{1601161116012} is an apocalyptic number.

1601161116012 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 1601161116012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104297574400).

1601161116012 is an abundant number, since it is smaller than the sum of its proper divisors (2607434032788).

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

1601161116012 is a wasteful number, since it uses less digits than its factorization.

1601161116012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218412 (or 218404 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 1601161116012 its reverse (2106111611061), we get a palindrome (3707272727073).

The spelling of 1601161116012 in words is "one trillion, six hundred one billion, one hundred sixty-one million, one hundred sixteen thousand, twelve".