1243311120 has 200 divisors, whose sum is σ = 4339066776. Its totient is φ = 329951232.

The previous prime is 1243311109. The next prime is 1243311143. The reversal of 1243311120 is 211133421.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 1059111936 = 13572^2 + 32544^2 .

It is a super-2 number, since 2×1243311120² = 3091645082231308800, which contains 22 as substring.

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 = 1243311093 and 1243311102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2027934 + ... + 2028546.

Almost surely, 2^1243311120 is an apocalyptic number.

1243311120 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 1243311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169533388).

1243311120 is an abundant number, since it is smaller than the sum of its proper divisors (3095755656).

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

1243311120 is a wasteful number, since it uses less digits than its factorization.

1243311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

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

The square root of 1243311120 is about 35260.6171244917. The cubic root of 1243311120 is about 1075.2924735117.

Adding to 1243311120 its reverse (211133421), we get a palindrome (1454444541).

The spelling of 1243311120 in words is "one billion, two hundred forty-three million, three hundred eleven thousand, one hundred twenty".