1320401412330 has 256 divisors, whose sum is σ = 4267127402496. Its totient is φ = 252531947520.

The previous prime is 1320401412329. The next prime is 1320401412331. The reversal of 1320401412330 is 332141040231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1320401412329) and next prime (1320401412331).

It is a self number, because there is not a number n which added to its sum of digits gives 1320401412330.

It is not an unprimeable number, because it can be changed into a prime (1320401412331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10357054 + ... + 10483766.

It is an arithmetic number, because the mean of its divisors is an integer number (16668466416).

Almost surely, 2^{1320401412330} is an apocalyptic number.

1320401412330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320401412330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133563701248).

1320401412330 is an abundant number, since it is smaller than the sum of its proper divisors (2946725990166).

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

1320401412330 is a wasteful number, since it uses less digits than its factorization.

1320401412330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127101.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1320401412330 its reverse (332141040231), we get a palindrome (1652542452561).

The spelling of 1320401412330 in words is "one trillion, three hundred twenty billion, four hundred one million, four hundred twelve thousand, three hundred thirty".