14201024151312 has 160 divisors (see below), whose sum is σ = 40871372636160. Its totient is φ = 4721004455040.

The previous prime is 14201024151299. The next prime is 14201024151337. The reversal of 14201024151312 is 21315142010241.

14201024151312 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 102 + 41 + 513 + 1 + 2 = 666.

It is a super-2 number, since 2×14201024151312² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589658023 + ... + 589682105.

It is an arithmetic number, because the mean of its divisors is an integer number (255446078976).

Almost surely, 2^{14201024151312} is an apocalyptic number.

14201024151312 is a gapful number since it is divisible by the number (12) 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 14201024151312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435686318080).

14201024151312 is an abundant number, since it is smaller than the sum of its proper divisors (26670348484848).

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

14201024151312 is a wasteful number, since it uses less digits than its factorization.

14201024151312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27698 (or 27686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14201024151312 its reverse (21315142010241), we get a palindrome (35516166161553).

The spelling of 14201024151312 in words is "fourteen trillion, two hundred one billion, twenty-four million, one hundred fifty-one thousand, three hundred twelve".