14201121004020 has 144 divisors (see below), whose sum is σ = 45619640434368. Its totient is φ = 3563501091840.

The previous prime is 14201121003929. The next prime is 14201121004069. The reversal of 14201121004020 is 2040012110241.

14201121004020 is a `hidden beast` number, since 1 + 42 + 0 + 11 + 210 + 0 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14201121003984 and 14201121004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15173055 + ... + 16081785.

It is an arithmetic number, because the mean of its divisors is an integer number (316803058572).

Almost surely, 2^{14201121004020} is an apocalyptic number.

14201121004020 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 14201121004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809820217184).

14201121004020 is an abundant number, since it is smaller than the sum of its proper divisors (31418519430348).

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

14201121004020 is a wasteful number, since it uses less digits than its factorization.

14201121004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913870 (or 913865 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14201121004020 its reverse (2040012110241), we get a palindrome (16241133114261).

The spelling of 14201121004020 in words is "fourteen trillion, two hundred one billion, one hundred twenty-one million, four thousand, twenty".