1233040120 has 128 divisors (see below), whose sum is σ = 3145443840. Its totient is φ = 431608320.

The previous prime is 1233040111. The next prime is 1233040129. The reversal of 1233040120 is 210403321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1233040111) and next prime (1233040129).

It is a super-2 number, since 2×1233040120² = 3040775875059228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1233040094 and 1233040103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233040129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566367 + ... + 1567153.

It is an arithmetic number, because the mean of its divisors is an integer number (24573780).

Almost surely, 2^1233040120 is an apocalyptic number.

1233040120 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 1233040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572721920).

1233040120 is an abundant number, since it is smaller than the sum of its proper divisors (1912403720).

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

1233040120 is a wasteful number, since it uses less digits than its factorization.

1233040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1233040120 is about 35114.6710079989. The cubic root of 1233040120 is about 1072.3232832617.

Adding to 1233040120 its reverse (210403321), we get a palindrome (1443443441).

The spelling of 1233040120 in words is "one billion, two hundred thirty-three million, forty thousand, one hundred twenty".