12254434920000 has 2800 divisors, whose sum is σ = 56616955274880. Its totient is φ = 2551025664000.

The previous prime is 12254434919999. The next prime is 12254434920041. The reversal of 12254434920000 is 2943445221.

It is a happy number.

12254434920000 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 443 + 4 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

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 399 ways as a sum of consecutive naturals, for example, 26240759767 + ... + 26240760233.

Almost surely, 2^{12254434920000} is an apocalyptic number.

12254434920000 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 12254434920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28308477637440).

12254434920000 is an abundant number, since it is smaller than the sum of its proper divisors (44362520354880).

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

12254434920000 is an equidigital number, since it uses as much as digits as its factorization.

12254434920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12254434920000 in words is "twelve trillion, two hundred fifty-four billion, four hundred thirty-four million, nine hundred twenty thousand".