12247849451520 has 960 divisors, whose sum is σ = 44494964640000. Its totient is φ = 3235755589632.

The previous prime is 12247849451501. The next prime is 12247849451543. The reversal of 12247849451520 is 2515494874221.

12247849451520 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 78 + 4 + 9 + 45 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24544788231 + ... + 24544788729.

It is an arithmetic number, because the mean of its divisors is an integer number (46348921500).

Almost surely, 2^{12247849451520} is an apocalyptic number.

12247849451520 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 12247849451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247482320000).

12247849451520 is an abundant number, since it is smaller than the sum of its proper divisors (32247115188480).

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

12247849451520 is an frugal number, since it uses more digits than its factorization.

12247849451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12247849451520 in words is "twelve trillion, two hundred forty-seven billion, eight hundred forty-nine million, four hundred fifty-one thousand, five hundred twenty".