3121114272 has 96 divisors (see below), whose sum is σ = 8290320192. Its totient is φ = 1028081664.

The previous prime is 3121114267. The next prime is 3121114291. The reversal of 3121114272 is 2724111213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4037278 + ... + 4038050.

It is an arithmetic number, because the mean of its divisors is an integer number (86357502).

Almost surely, 2^3121114272 is an apocalyptic number.

3121114272 is a gapful number since it is divisible by the number (32) 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 3121114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145160096).

3121114272 is an abundant number, since it is smaller than the sum of its proper divisors (5169205920).

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

3121114272 is a wasteful number, since it uses less digits than its factorization.

3121114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 3121114272 is about 55866.9336190917. The cubic root of 3121114272 is about 1461.4026477665.

Adding to 3121114272 its reverse (2724111213), we get a palindrome (5845225485).

The spelling of 3121114272 in words is "three billion, one hundred twenty-one million, one hundred fourteen thousand, two hundred seventy-two".