12606261120 has 256 divisors, whose sum is σ = 45856180800. Its totient is φ = 3270647808.

The previous prime is 12606261119. The next prime is 12606261121. The reversal of 12606261120 is 2116260621.

12606261120 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 626 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12606261119) and next prime (12606261121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606261121) 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, 629502 + ... + 649218.

Almost surely, 2^12606261120 is an apocalyptic number.

12606261120 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 12606261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928090400).

12606261120 is an abundant number, since it is smaller than the sum of its proper divisors (33249919680).

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

12606261120 is a wasteful number, since it uses less digits than its factorization.

12606261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19764 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12606261120 in words is "twelve billion, six hundred six million, two hundred sixty-one thousand, one hundred twenty".