14034432122000 has 80 divisors (see below), whose sum is σ = 34246590034800. Its totient is φ = 5562270259200.

The previous prime is 14034432121999. The next prime is 14034432122023. The reversal of 14034432122000 is 22123443041.

It can be written as a sum of positive squares in 8 ways, for example, as 8518622894224 + 5515809227776 = 2918668^2 + 2348576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×14034432122000⁵ (a number of 67 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31971065 + ... + 32407064.

It is an arithmetic number, because the mean of its divisors is an integer number (428082375435).

Almost surely, 2^{14034432122000} is an apocalyptic number.

14034432122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14034432122000 is an abundant number, since it is smaller than the sum of its proper divisors (20212157912800).

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

14034432122000 is a wasteful number, since it uses less digits than its factorization.

14034432122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64378261 (or 64378245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14034432122000 its reverse (22123443041), we get a palindrome (14056555565041).

The spelling of 14034432122000 in words is "fourteen trillion, thirty-four billion, four hundred thirty-two million, one hundred twenty-two thousand".