2014132120 has 384 divisors, whose sum is σ = 6515510400. Its totient is φ = 543375360.

The previous prime is 2014132117. The next prime is 2014132121. The reversal of 2014132120 is 212314102.

It is a junction number, because it is equal to n+sod(n) for n = 2014132094 and 2014132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014132121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7487346 + ... + 7487614.

It is an arithmetic number, because the mean of its divisors is an integer number (16967475).

Almost surely, 2^2014132120 is an apocalyptic number.

2014132120 is a gapful number since it is divisible by the number (20) 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 2014132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257755200).

2014132120 is an abundant number, since it is smaller than the sum of its proper divisors (4501378280).

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

2014132120 is a wasteful number, since it uses less digits than its factorization.

2014132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014132120 is about 44879.0833239718. The cubic root of 2014132120 is about 1262.8816467988.

Adding to 2014132120 its reverse (212314102), we get a palindrome (2226446222).

The spelling of 2014132120 in words is "two billion, fourteen million, one hundred thirty-two thousand, one hundred twenty".