316106421120 has 768 divisors, whose sum is σ = 1378371271680. Its totient is φ = 65042841600.

The previous prime is 316106421091. The next prime is 316106421133. The reversal of 316106421120 is 21124601613.

It is a happy number.

316106421120 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 0 + 642 + 1 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15755095 + ... + 15775145.

It is an arithmetic number, because the mean of its divisors is an integer number (1794754260).

Almost surely, 2^316106421120 is an apocalyptic number.

316106421120 is a gapful number since it is divisible by the number (30) 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 316106421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689185635840).

316106421120 is an abundant number, since it is smaller than the sum of its proper divisors (1062264850560).

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

316106421120 is a wasteful number, since it uses less digits than its factorization.

316106421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 316106421120 in words is "three hundred sixteen billion, one hundred six million, four hundred twenty-one thousand, one hundred twenty".