12601154510208 has 1280 divisors, whose sum is σ = 44886175488000. Its totient is φ = 3466727424000.

The previous prime is 12601154510183. The next prime is 12601154510209. The reversal of 12601154510208 is 80201545110621.

12601154510208 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 1 + 545 + 102 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12601154510209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7321994788 + ... + 7321996508.

It is an arithmetic number, because the mean of its divisors is an integer number (35067324600).

Almost surely, 2^{12601154510208} is an apocalyptic number.

12601154510208 is a gapful number since it is divisible by the number (18) 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 12601154510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443087744000).

12601154510208 is an abundant number, since it is smaller than the sum of its proper divisors (32285020977792).

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

12601154510208 is a wasteful number, since it uses less digits than its factorization.

12601154510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 12601154510208 its reverse (80201545110621), we get a palindrome (92802699620829).

The spelling of 12601154510208 in words is "twelve trillion, six hundred one billion, one hundred fifty-four million, five hundred ten thousand, two hundred eight".