14112121320 has 640 divisors, whose sum is σ = 54647239680. Its totient is φ = 3234816000.

The previous prime is 14112121319. The next prime is 14112121337. The reversal of 14112121320 is 2312121141.

14112121320 is a `hidden beast` number, since 1 + 411 + 21 + 213 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14112121293 and 14112121302.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58556400 + ... + 58556640.

It is an arithmetic number, because the mean of its divisors is an integer number (85386312).

Almost surely, 2^14112121320 is an apocalyptic number.

14112121320 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 14112121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27323619840).

14112121320 is an abundant number, since it is smaller than the sum of its proper divisors (40535118360).

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

14112121320 is a wasteful number, since it uses less digits than its factorization.

14112121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14112121320 its reverse (2312121141), we get a palindrome (16424242461).

The spelling of 14112121320 in words is "fourteen billion, one hundred twelve million, one hundred twenty-one thousand, three hundred twenty".