14120124181020 has 1152 divisors, whose sum is σ = 57710820787200. Its totient is φ = 2817275904000.

The previous prime is 14120124180977. The next prime is 14120124181043. The reversal of 14120124181020 is 2018142102141.

14120124181020 is a `hidden beast` number, since 1 + 41 + 201 + 2 + 418 + 1 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 423998370 + ... + 424031670.

It is an arithmetic number, because the mean of its divisors is an integer number (50096198600).

Almost surely, 2^{14120124181020} is an apocalyptic number.

14120124181020 is a gapful number since it is divisible by the number (10) 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 14120124181020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28855410393600).

14120124181020 is an abundant number, since it is smaller than the sum of its proper divisors (43590696606180).

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

14120124181020 is a wasteful number, since it uses less digits than its factorization.

14120124181020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33396 (or 33371 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 14120124181020 its reverse (2018142102141), we get a palindrome (16138266283161).

The spelling of 14120124181020 in words is "fourteen trillion, one hundred twenty billion, one hundred twenty-four million, one hundred eighty-one thousand, twenty".