12492984430080 has 5760 divisors, whose sum is σ = 62717930795520. Its totient is φ = 2347700060160.

The previous prime is 12492984430057. The next prime is 12492984430103. The reversal of 12492984430080 is 8003448929421.

It is a happy number.

12492984430080 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 298 + 44 + 300 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12492984430057) and next prime (12492984430103).

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a junction number, because it is equal to n+sod(n) for n = 12492984429999 and 12492984430026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 235716687334 + ... + 235716687386.

It is an arithmetic number, because the mean of its divisors is an integer number (10888529652).

Almost surely, 2^{12492984430080} is an apocalyptic number.

12492984430080 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 12492984430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31358965397760).

12492984430080 is an abundant number, since it is smaller than the sum of its proper divisors (50224946365440).

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

12492984430080 is a wasteful number, since it uses less digits than its factorization.

12492984430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12492984430080 in words is "twelve trillion, four hundred ninety-two billion, nine hundred eighty-four million, four hundred thirty thousand, eighty".