14332620120 has 256 divisors, whose sum is σ = 54746496000. Its totient is φ = 2919684096.

The previous prime is 14332620089. The next prime is 14332620139. The reversal of 14332620120 is 2102623341.

14332620120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 294051 + ... + 339309.

It is an arithmetic number, because the mean of its divisors is an integer number (213853500).

Almost surely, 2^14332620120 is an apocalyptic number.

14332620120 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 14332620120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373248000).

14332620120 is an abundant number, since it is smaller than the sum of its proper divisors (40413875880).

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

14332620120 is a wasteful number, since it uses less digits than its factorization.

14332620120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45322 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 14332620120 in words is "fourteen billion, three hundred thirty-two million, six hundred twenty thousand, one hundred twenty".