3121114400 has 72 divisors (see below), whose sum is σ = 7637636160. Its totient is φ = 1245461760.

The previous prime is 3121114331. The next prime is 3121114411. The reversal of 3121114400 is 44111213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346757 + ... + 355643.

It is an arithmetic number, because the mean of its divisors is an integer number (106078280).

Almost surely, 2^3121114400 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 3121114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818818080).

3121114400 is an abundant number, since it is smaller than the sum of its proper divisors (4516521760).

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

3121114400 is a wasteful number, since it uses less digits than its factorization.

3121114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 3121114400 is about 55866.9347646710. The cubic root of 3121114400 is about 1461.4026677444.

Adding to 3121114400 its reverse (44111213), we get a palindrome (3165225613).

The spelling of 3121114400 in words is "three billion, one hundred twenty-one million, one hundred fourteen thousand, four hundred".