1233444410412 has 96 divisors (see below), whose sum is σ = 3012463706112. Its totient is φ = 392056881216.

The previous prime is 1233444410411. The next prime is 1233444410413. The reversal of 1233444410412 is 2140144443321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1233444410411) and next prime (1233444410413).

It is a super-2 number, since 2×1233444410412² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1233444410411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130284103 + ... + 130293569.

It is an arithmetic number, because the mean of its divisors is an integer number (31379830272).

Almost surely, 2^{1233444410412} is an apocalyptic number.

1233444410412 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 1233444410412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506231853056).

1233444410412 is an abundant number, since it is smaller than the sum of its proper divisors (1779019295700).

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

1233444410412 is a wasteful number, since it uses less digits than its factorization.

1233444410412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1233444410412 its reverse (2140144443321), we get a palindrome (3373588853733).

The spelling of 1233444410412 in words is "one trillion, two hundred thirty-three billion, four hundred forty-four million, four hundred ten thousand, four hundred twelve".