14200121012 has 108 divisors (see below), whose sum is σ = 33644265732. Its totient is φ = 5206924800.

The previous prime is 14200121011. The next prime is 14200121017. The reversal of 14200121012 is 21012100241.

It is a happy number.

14200121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12260247076 + 1939873936 = 110726^2 + 44044^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385562 + ... + 420782.

It is an arithmetic number, because the mean of its divisors is an integer number (311520979).

Almost surely, 2^14200121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822132866).

14200121012 is an abundant number, since it is smaller than the sum of its proper divisors (19444144720).

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

14200121012 is a wasteful number, since it uses less digits than its factorization.

14200121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35278 (or 35258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14200121012 its reverse (21012100241), we get a palindrome (35212221253).

The spelling of 14200121012 in words is "fourteen billion, two hundred million, one hundred twenty-one thousand, twelve".