1316126112 has 192 divisors, whose sum is σ = 4152766464. Its totient is φ = 357073920.

The previous prime is 1316126107. The next prime is 1316126131. The reversal of 1316126112 is 2116216131.

It is a happy number.

1316126112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1316126112³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 1068537 + ... + 1069767.

It is an arithmetic number, because the mean of its divisors is an integer number (21628992).

Almost surely, 2^1316126112 is an apocalyptic number.

1316126112 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 1316126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076383232).

1316126112 is an abundant number, since it is smaller than the sum of its proper divisors (2836640352).

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

1316126112 is a wasteful number, since it uses less digits than its factorization.

1316126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1316126112 is about 36278.4524476996. The cubic root of 1316126112 is about 1095.8871516112.

The spelling of 1316126112 in words is "one billion, three hundred sixteen million, one hundred twenty-six thousand, one hundred twelve".