1123220312010 has 96 divisors (see below), whose sum is σ = 3000327934032. Its totient is φ = 291330432000.

The previous prime is 1123220311999. The next prime is 1123220312077. The reversal of 1123220312010 is 102130223211.

1123220312010 is a `hidden beast` number, since 1 + 123 + 220 + 312 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1022745893481 + 100474418529 = 1011309^2 + 316977^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9937132 + ... + 10049528.

Almost surely, 2^{1123220312010} is an apocalyptic number.

1123220312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123220312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500163967016).

1123220312010 is an abundant number, since it is smaller than the sum of its proper divisors (1877107622022).

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

1123220312010 is a wasteful number, since it uses less digits than its factorization.

1123220312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115448 (or 115445 counting only the distinct ones).

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

Adding to 1123220312010 its reverse (102130223211), we get a palindrome (1225350535221).

The spelling of 1123220312010 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, three hundred twelve thousand, ten".