3121114304 has 112 divisors (see below), whose sum is σ = 7820436480. Its totient is φ = 1200476160.

The previous prime is 3121114291. The next prime is 3121114307. The reversal of 3121114304 is 4034111213.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3121114307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385304 + ... + 393320.

Almost surely, 2^3121114304 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 3121114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910218240).

3121114304 is an abundant number, since it is smaller than the sum of its proper divisors (4699322176).

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

3121114304 is a wasteful number, since it uses less digits than its factorization.

3121114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3121114304 is about 55866.9339054865. The cubic root of 3121114304 is about 1461.4026527610.

Adding to 3121114304 its reverse (4034111213), we get a palindrome (7155225517).

The spelling of 3121114304 in words is "three billion, one hundred twenty-one million, one hundred fourteen thousand, three hundred four".