1312120310220 has 576 divisors, whose sum is σ = 4614184673280. Its totient is φ = 299809382400.

The previous prime is 1312120310201. The next prime is 1312120310227. The reversal of 1312120310220 is 220130212131.

1312120310220 is a `hidden beast` number, since 1 + 3 + 12 + 120 + 310 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312120310193 and 1312120310202.

It is not an unprimeable number, because it can be changed into a prime (1312120310227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133083651 + ... + 133093509.

It is an arithmetic number, because the mean of its divisors is an integer number (8010737280).

Almost surely, 2^{1312120310220} is an apocalyptic number.

1312120310220 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 1312120310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307092336640).

1312120310220 is an abundant number, since it is smaller than the sum of its proper divisors (3302064363060).

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

1312120310220 is a wasteful number, since it uses less digits than its factorization.

1312120310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1312120310220 its reverse (220130212131), we get a palindrome (1532250522351).

The spelling of 1312120310220 in words is "one trillion, three hundred twelve billion, one hundred twenty million, three hundred ten thousand, two hundred twenty".