1312122210320 has 40 divisors (see below), whose sum is σ = 3055036172760. Its totient is φ = 524100147200.

The previous prime is 1312122210257. The next prime is 1312122210383. The reversal of 1312122210320 is 230122212131.

It is an interprime number because it is at equal distance from previous prime (1312122210257) and next prime (1312122210383).

It can be written as a sum of positive squares in 4 ways, for example, as 621946740496 + 690175469824 = 788636^2 + 830768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 1312122210292 and 1312122210301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11642585 + ... + 11754744.

It is an arithmetic number, because the mean of its divisors is an integer number (76375904319).

Almost surely, 2^{1312122210320} is an apocalyptic number.

1312122210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312122210320 is an abundant number, since it is smaller than the sum of its proper divisors (1742913962440).

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

1312122210320 is a wasteful number, since it uses less digits than its factorization.

1312122210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23398043 (or 23398037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1312122210320 its reverse (230122212131), we get a palindrome (1542244422451).

The spelling of 1312122210320 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, three hundred twenty".