14012121001120 has 192 divisors, whose sum is σ = 36204658148736. Its totient is φ = 5082406318080.

The previous prime is 14012121001079. The next prime is 14012121001133. The reversal of 14012121001120 is 2110012121041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14012121001094 and 14012121001103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629880662 + ... + 1629889258.

It is an arithmetic number, because the mean of its divisors is an integer number (188565927858).

Almost surely, 2^{14012121001120} is an apocalyptic number.

14012121001120 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 14012121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102329074368).

14012121001120 is an abundant number, since it is smaller than the sum of its proper divisors (22192537147616).

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

14012121001120 is a wasteful number, since it uses less digits than its factorization.

14012121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 14012121001120 its reverse (2110012121041), we get a palindrome (16122133122161).

The spelling of 14012121001120 in words is "fourteen trillion, twelve billion, one hundred twenty-one million, one thousand, one hundred twenty".