12606988048830 has 256 divisors, whose sum is σ = 38607114240000. Its totient is φ = 2867676835968.

The previous prime is 12606988048783. The next prime is 12606988048883. The reversal of 12606988048830 is 3884088960621.

12606988048830 is a `hidden beast` number, since 1 + 2 + 60 + 6 + 98 + 8 + 0 + 488 + 3 + 0 = 666.

It is a super-2 number, since 2×12606988048830² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 767447077 + ... + 767463503.

It is an arithmetic number, because the mean of its divisors is an integer number (150809040000).

Almost surely, 2^{12606988048830} is an apocalyptic number.

12606988048830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12606988048830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303557120000).

12606988048830 is an abundant number, since it is smaller than the sum of its proper divisors (26000126191170).

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

12606988048830 is a wasteful number, since it uses less digits than its factorization.

12606988048830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 18382 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 12606988048830 in words is "twelve trillion, six hundred six billion, nine hundred eighty-eight million, forty-eight thousand, eight hundred thirty".