1123211110320 has 480 divisors, whose sum is σ = 4088072596608. Its totient is φ = 274734415872.

The previous prime is 1123211110319. The next prime is 1123211110331. The reversal of 1123211110320 is 230111123211.

1123211110320 is a `hidden beast` number, since 1 + 1 + 2 + 321 + 11 + 10 + 320 = 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 = 1123211110293 and 1123211110302.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1511723869 + ... + 1511724611.

Almost surely, 2^{1123211110320} is an apocalyptic number.

1123211110320 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 1123211110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044036298304).

1123211110320 is an abundant number, since it is smaller than the sum of its proper divisors (2964861486288).

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

1123211110320 is a wasteful number, since it uses less digits than its factorization.

1123211110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1123211110320 its reverse (230111123211), we get a palindrome (1353322233531).

The spelling of 1123211110320 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, one hundred ten thousand, three hundred twenty".