314121132 has 96 divisors (see below), whose sum is σ = 881764800. Its totient is φ = 96132096.

The previous prime is 314121113. The next prime is 314121173. The reversal of 314121132 is 231121413.

It is a super-2 number, since 2×314121132² = 197344171137922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 321028 + ... + 322004.

It is an arithmetic number, because the mean of its divisors is an integer number (9185050).

Almost surely, 2^314121132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440882400).

314121132 is an abundant number, since it is smaller than the sum of its proper divisors (567643668).

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

314121132 is a wasteful number, since it uses less digits than its factorization.

314121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 314121132 is about 17723.4627542137. The cubic root of 314121132 is about 679.7758286444.

Adding to 314121132 its reverse (231121413), we get a palindrome (545242545).

The spelling of 314121132 in words is "three hundred fourteen million, one hundred twenty-one thousand, one hundred thirty-two".