1214320224 has 96 divisors (see below), whose sum is σ = 3439757664. Its totient is φ = 372879360.

The previous prime is 1214320223. The next prime is 1214320231. The reversal of 1214320224 is 4220234121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1214320224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214320223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188834 + ... + 1189854.

It is an arithmetic number, because the mean of its divisors is an integer number (35830809).

Almost surely, 2^1214320224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719878832).

1214320224 is an abundant number, since it is smaller than the sum of its proper divisors (2225437440).

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

1214320224 is a wasteful number, since it uses less digits than its factorization.

1214320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1214320224 is about 34847.0977844641. The cubic root of 1214320224 is about 1066.8689508722.

Adding to 1214320224 its reverse (4220234121), we get a palindrome (5434554345).

The spelling of 1214320224 in words is "one billion, two hundred fourteen million, three hundred twenty thousand, two hundred twenty-four".