14304412211220 has 120 divisors (see below), whose sum is σ = 44896504653000. Its totient is φ = 3812551918848.

The previous prime is 14304412211149. The next prime is 14304412211227. The reversal of 14304412211220 is 2211221440341.

14304412211220 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 4 + 412 + 21 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1614886891524 + 12689525319696 = 1270782^2 + 3562236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304412211227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 892146 + ... + 5422614.

It is an arithmetic number, because the mean of its divisors is an integer number (374137538775).

Almost surely, 2^{14304412211220} is an apocalyptic number.

14304412211220 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 14304412211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448252326500).

14304412211220 is an abundant number, since it is smaller than the sum of its proper divisors (30592092441780).

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

14304412211220 is a wasteful number, since it uses less digits than its factorization.

14304412211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532439 (or 4532428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14304412211220 its reverse (2211221440341), we get a palindrome (16515633651561).

The spelling of 14304412211220 in words is "fourteen trillion, three hundred four billion, four hundred twelve million, two hundred eleven thousand, two hundred twenty".