12505450970208 has 192 divisors, whose sum is σ = 37581875831808. Its totient is φ = 3566750423040.

The previous prime is 12505450970203. The next prime is 12505450970227. The reversal of 12505450970208 is 80207905450521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505450970203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417686438 + ... + 1417695258.

It is an arithmetic number, because the mean of its divisors is an integer number (195738936624).

Almost surely, 2^{12505450970208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12505450970208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790937915904).

12505450970208 is an abundant number, since it is smaller than the sum of its proper divisors (25076424861600).

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

12505450970208 is a wasteful number, since it uses less digits than its factorization.

12505450970208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 12505450970208 in words is "twelve trillion, five hundred five billion, four hundred fifty million, nine hundred seventy thousand, two hundred eight".