3114053244120 has 256 divisors, whose sum is σ = 11500828416000. Its totient is φ = 656871837696.

The previous prime is 3114053244083. The next prime is 3114053244131. The reversal of 3114053244120 is 214423504113.

It is a super-3 number, since 3×3114053244120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48113941 + ... + 48178619.

It is an arithmetic number, because the mean of its divisors is an integer number (44925111000).

Almost surely, 2^{3114053244120} is an apocalyptic number.

3114053244120 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 3114053244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750414208000).

3114053244120 is an abundant number, since it is smaller than the sum of its proper divisors (8386775171880).

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

3114053244120 is a wasteful number, since it uses less digits than its factorization.

3114053244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69122 (or 69118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 3114053244120 its reverse (214423504113), we get a palindrome (3328476748233).

The spelling of 3114053244120 in words is "three trillion, one hundred fourteen billion, fifty-three million, two hundred forty-four thousand, one hundred twenty".