1261616112 has 120 divisors (see below), whose sum is σ = 3796066560. Its totient is φ = 389888640.

The previous prime is 1261616107. The next prime is 1261616119. The reversal of 1261616112 is 2116161621.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261616119) 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 23 ways as a sum of consecutive naturals, for example, 123687 + ... + 133497.

It is an arithmetic number, because the mean of its divisors is an integer number (31633888).

Almost surely, 2^1261616112 is an apocalyptic number.

1261616112 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 1261616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898033280).

1261616112 is an abundant number, since it is smaller than the sum of its proper divisors (2534450448).

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

1261616112 is a wasteful number, since it uses less digits than its factorization.

1261616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9882 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1261616112 is about 35519.2358025901. The cubic root of 1261616112 is about 1080.5438824362.

Adding to 1261616112 its reverse (2116161621), we get a palindrome (3377777733).

The spelling of 1261616112 in words is "one billion, two hundred sixty-one million, six hundred sixteen thousand, one hundred twelve".