1214441120 has 96 divisors (see below), whose sum is σ = 3064158720. Its totient is φ = 453841920.

The previous prime is 1214441093. The next prime is 1214441203. The reversal of 1214441120 is 211444121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1214441092 and 1214441101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139619 + ... + 148061.

It is an arithmetic number, because the mean of its divisors is an integer number (31918320).

Almost surely, 2^1214441120 is an apocalyptic number.

1214441120 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 1214441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532079360).

1214441120 is an abundant number, since it is smaller than the sum of its proper divisors (1849717600).

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

1214441120 is a wasteful number, since it uses less digits than its factorization.

1214441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1214441120 is about 34848.8324051180. The cubic root of 1214441120 is about 1066.9043550174.

Adding to 1214441120 its reverse (211444121), we get a palindrome (1425885241).

The spelling of 1214441120 in words is "one billion, two hundred fourteen million, four hundred forty-one thousand, one hundred twenty".