1214461120 has 56 divisors (see below), whose sum is σ = 2898245664. Its totient is φ = 484724736.

The previous prime is 1214461081. The next prime is 1214461141. The reversal of 1214461120 is 211644121.

It is a junction number, because it is equal to n+sod(n) for n = 1214461091 and 1214461100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151944 + ... + 159736.

Almost surely, 2^1214461120 is an apocalyptic number.

1214461120 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 1214461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449122832).

1214461120 is an abundant number, since it is smaller than the sum of its proper divisors (1683784544).

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

1214461120 is an equidigital number, since it uses as much as digits as its factorization.

1214461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1214461120 is about 34849.1193575964. The cubic root of 1214461120 is about 1066.9102117498.

The spelling of 1214461120 in words is "one billion, two hundred fourteen million, four hundred sixty-one thousand, one hundred twenty".