1210322112320 has 112 divisors (see below), whose sum is σ = 2954208973968. Its totient is φ = 472027299840.

The previous prime is 1210322112271. The next prime is 1210322112323. The reversal of 1210322112320 is 232112230121.

It can be written as a sum of positive squares in 8 ways, for example, as 66431969536 + 1143890142784 = 257744^2 + 1069528^2 .

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 = 1210322112292 and 1210322112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210322112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21712004 + ... + 21767676.

It is an arithmetic number, because the mean of its divisors is an integer number (26376865839).

Almost surely, 2^{1210322112320} is an apocalyptic number.

1210322112320 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 1210322112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477104486984).

1210322112320 is an abundant number, since it is smaller than the sum of its proper divisors (1743886861648).

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

1210322112320 is a wasteful number, since it uses less digits than its factorization.

1210322112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57388 (or 57378 counting only the distinct ones).

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

Adding to 1210322112320 its reverse (232112230121), we get a palindrome (1442434342441).

The spelling of 1210322112320 in words is "one trillion, two hundred ten billion, three hundred twenty-two million, one hundred twelve thousand, three hundred twenty".