12045251023344 has 1920 divisors, whose sum is σ = 48385017446400. Its totient is φ = 2825673984000.

The previous prime is 12045251023321. The next prime is 12045251023361. The reversal of 12045251023344 is 44332015254021.

It is a happy number.

12045251023344 is a `hidden beast` number, since 1 + 2 + 0 + 45 + 251 + 0 + 23 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12045251023299 and 12045251023308.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 9737469894 + ... + 9737471130.

It is an arithmetic number, because the mean of its divisors is an integer number (25200529920).

Almost surely, 2^{12045251023344} is an apocalyptic number.

12045251023344 is a gapful number since it is divisible by the number (14) 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 12045251023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192508723200).

12045251023344 is an abundant number, since it is smaller than the sum of its proper divisors (36339766423056).

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

12045251023344 is a wasteful number, since it uses less digits than its factorization.

12045251023344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12045251023344 its reverse (44332015254021), we get a palindrome (56377266277365).

The spelling of 12045251023344 in words is "twelve trillion, forty-five billion, two hundred fifty-one million, twenty-three thousand, three hundred forty-four".