1321414120 has 64 divisors (see below), whose sum is σ = 3212576640. Its totient is φ = 486278400.

The previous prime is 1321414069. The next prime is 1321414139. The reversal of 1321414120 is 214141231.

It is a super-2 number, since 2×1321414120² = 3492270553070748800, which contains 22 as substring.

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, 157635 + ... + 165805.

It is an arithmetic number, because the mean of its divisors is an integer number (50196510).

Almost surely, 2^1321414120 is an apocalyptic number.

1321414120 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 1321414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606288320).

1321414120 is an abundant number, since it is smaller than the sum of its proper divisors (1891162520).

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

1321414120 is a wasteful number, since it uses less digits than its factorization.

1321414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1321414120 is about 36351.2602257473. The cubic root of 1321414120 is about 1097.3528966760.

Adding to 1321414120 its reverse (214141231), we get a palindrome (1535555351).

The spelling of 1321414120 in words is "one billion, three hundred twenty-one million, four hundred fourteen thousand, one hundred twenty".