1123211010320 has 120 divisors (see below), whose sum is σ = 3038498213400. Its totient is φ = 385015873536.

The previous prime is 1123211010307. The next prime is 1123211010353. The reversal of 1123211010320 is 230101123211.

It can be written as a sum of positive squares in 4 ways, for example, as 456754298896 + 666456711424 = 675836^2 + 816368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19214096 + ... + 19272464.

It is an arithmetic number, because the mean of its divisors is an integer number (25320818445).

Almost surely, 2^{1123211010320} is an apocalyptic number.

1123211010320 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 1123211010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519249106700).

1123211010320 is an abundant number, since it is smaller than the sum of its proper divisors (1915287203080).

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

1123211010320 is a wasteful number, since it uses less digits than its factorization.

1123211010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63305 (or 63292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1123211010320 its reverse (230101123211), we get a palindrome (1353312133531).

The spelling of 1123211010320 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, ten thousand, three hundred twenty".