12522034788480 has 1536 divisors, whose sum is σ = 54137257574400. Its totient is φ = 2705122344960.

The previous prime is 12522034788409. The next prime is 12522034788481. The reversal of 12522034788480 is 8488743022521.

It is a happy number.

12522034788480 is a `hidden beast` number, since 1 + 2 + 52 + 2 + 0 + 34 + 7 + 88 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12522034788481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1451152806 + ... + 1451161434.

It is an arithmetic number, because the mean of its divisors is an integer number (35245610400).

Almost surely, 2^{12522034788480} is an apocalyptic number.

12522034788480 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 12522034788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27068628787200).

12522034788480 is an abundant number, since it is smaller than the sum of its proper divisors (41615222785920).

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

12522034788480 is an equidigital number, since it uses as much as digits as its factorization.

12522034788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 12522034788480 in words is "twelve trillion, five hundred twenty-two billion, thirty-four million, seven hundred eighty-eight thousand, four hundred eighty".