1316617120 has 192 divisors, whose sum is σ = 3953166336. Its totient is φ = 403107840.

The previous prime is 1316617109. The next prime is 1316617147. The reversal of 1316617120 is 217166131.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 449902 + ... + 452818.

It is an arithmetic number, because the mean of its divisors is an integer number (20589408).

Almost surely, 2^1316617120 is an apocalyptic number.

1316617120 is a gapful number since it is divisible by the number (10) 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 1316617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976583168).

1316617120 is an abundant number, since it is smaller than the sum of its proper divisors (2636549216).

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

1316617120 is a wasteful number, since it uses less digits than its factorization.

1316617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1316617120 is about 36285.2190292411. The cubic root of 1316617120 is about 1096.0234157712.

The spelling of 1316617120 in words is "one billion, three hundred sixteen million, six hundred seventeen thousand, one hundred twenty".