12444330400000 has 108 divisors (see below), whose sum is σ = 31048077459924. Its totient is φ = 4977731840000.

The previous prime is 12444330399911. The next prime is 12444330400003. The reversal of 12444330400000 is 403344421.

It can be written as a sum of positive squares in 6 ways, for example, as 10946781022464 + 1497549377536 = 3308592^2 + 1223744^2 .

It is a super-2 number, since 2×12444330400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12444330400003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6977707 + ... + 8577706.

It is an arithmetic number, because the mean of its divisors is an integer number (287482198703).

Almost surely, 2^{12444330400000} is an apocalyptic number.

12444330400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444330400000 is an abundant number, since it is smaller than the sum of its proper divisors (18603747059924).

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

12444330400000 is an frugal number, since it uses more digits than its factorization.

12444330400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555454 (or 15555420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12444330400000 its reverse (403344421), we get a palindrome (12444733744421).

The spelling of 12444330400000 in words is "twelve trillion, four hundred forty-four billion, three hundred thirty million, four hundred thousand".