12253370112000 has 288 divisors, whose sum is σ = 44166706496640. Its totient is φ = 3267564748800.

The previous prime is 12253370111963. The next prime is 12253370112013. The reversal of 12253370112000 is 21107335221.

12253370112000 is a `hidden beast` number, since 1 + 2 + 2 + 533 + 7 + 0 + 1 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 355152 + ... + 4963151.

It is an arithmetic number, because the mean of its divisors is an integer number (153356619780).

Almost surely, 2^{12253370112000} is an apocalyptic number.

12253370112000 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 12253370112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083353248320).

12253370112000 is an abundant number, since it is smaller than the sum of its proper divisors (31913336384640).

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

12253370112000 is an equidigital number, since it uses as much as digits as its factorization.

12253370112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318346 (or 5318313 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 12253370112000 its reverse (21107335221), we get a palindrome (12274477447221).

The spelling of 12253370112000 in words is "twelve trillion, two hundred fifty-three billion, three hundred seventy million, one hundred twelve thousand".