1601162112 has 128 divisors (see below), whose sum is σ = 4841752320. Its totient is φ = 464076800.

The previous prime is 1601162107. The next prime is 1601162117. The reversal of 1601162112 is 2112611061.

It is an interprime number because it is at equal distance from previous prime (1601162107) and next prime (1601162117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601162117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88912 + ... + 105392.

It is an arithmetic number, because the mean of its divisors is an integer number (37826190).

Almost surely, 2^1601162112 is an apocalyptic number.

1601162112 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 1601162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420876160).

1601162112 is an abundant number, since it is smaller than the sum of its proper divisors (3240590208).

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

1601162112 is a wasteful number, since it uses less digits than its factorization.

1601162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1601162112 is about 40014.5237632538. The cubic root of 1601162112 is about 1169.8901964307.

Adding to 1601162112 its reverse (2112611061), we get a palindrome (3713773173).

The spelling of 1601162112 in words is "one billion, six hundred one million, one hundred sixty-two thousand, one hundred twelve".