14102412000 has 192 divisors, whose sum is σ = 46557358848. Its totient is φ = 3731520000.

The previous prime is 14102411989. The next prime is 14102412017. The reversal of 14102412000 is 21420141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1567515 + ... + 1576485.

It is an arithmetic number, because the mean of its divisors is an integer number (242486244).

Almost surely, 2^14102412000 is an apocalyptic number.

14102412000 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 14102412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278679424).

14102412000 is an abundant number, since it is smaller than the sum of its proper divisors (32454946848).

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

14102412000 is a wasteful number, since it uses less digits than its factorization.

14102412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14102412000 its reverse (21420141), we get a palindrome (14123832141).

The spelling of 14102412000 in words is "fourteen billion, one hundred two million, four hundred twelve thousand".