14220333120 has 336 divisors, whose sum is σ = 52712892288. Its totient is φ = 3238502400.

The previous prime is 14220333109. The next prime is 14220333131. The reversal of 14220333120 is 2133302241.

It is an interprime number because it is at equal distance from previous prime (14220333109) and next prime (14220333131).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23660820 + ... + 23661420.

It is an arithmetic number, because the mean of its divisors is an integer number (156883608).

Almost surely, 2^14220333120 is an apocalyptic number.

14220333120 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 14220333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26356446144).

14220333120 is an abundant number, since it is smaller than the sum of its proper divisors (38492559168).

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

14220333120 is a wasteful number, since it uses less digits than its factorization.

14220333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14220333120 its reverse (2133302241), we get a palindrome (16353635361).

The spelling of 14220333120 in words is "fourteen billion, two hundred twenty million, three hundred thirty-three thousand, one hundred twenty".