2014024210120 has 256 divisors, whose sum is σ = 5337681935040. Its totient is φ = 677024759808.

The previous prime is 2014024210111. The next prime is 2014024210127. The reversal of 2014024210120 is 210124204102.

It can be written as a sum of positive squares in 32 ways, for example, as 10661388516 + 2003362821604 = 103254^2 + 1415402^2 .

It is not an unprimeable number, because it can be changed into a prime (2014024210127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56567044 + ... + 56602636.

Almost surely, 2^{2014024210120} is an apocalyptic number.

2014024210120 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 2014024210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668840967520).

2014024210120 is an abundant number, since it is smaller than the sum of its proper divisors (3323657724920).

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

2014024210120 is a wasteful number, since it uses less digits than its factorization.

2014024210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35844 (or 35840 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2014024210120 its reverse (210124204102), we get a palindrome (2224148414222).

The spelling of 2014024210120 in words is "two trillion, fourteen billion, twenty-four million, two hundred ten thousand, one hundred twenty".