1223268314112 has 792 divisors, whose sum is σ = 4177909968960. Its totient is φ = 356347330560.

The previous prime is 1223268314039. The next prime is 1223268314117. The reversal of 1223268314112 is 2114138623221.

1223268314112 is a `hidden beast` number, since 1 + 2 + 2 + 326 + 8 + 314 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1223268314117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798998787 + ... + 799000317.

Almost surely, 2^{1223268314112} is an apocalyptic number.

1223268314112 is a gapful number since it is divisible by the number (12) 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 1223268314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088954984480).

1223268314112 is an abundant number, since it is smaller than the sum of its proper divisors (2954641654848).

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

1223268314112 is a wasteful number, since it uses less digits than its factorization.

1223268314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1568 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 1223268314112 in words is "one trillion, two hundred twenty-three billion, two hundred sixty-eight million, three hundred fourteen thousand, one hundred twelve".