12545906112 has 168 divisors, whose sum is σ = 38475828560. Its totient is φ = 3896709120.

The previous prime is 12545906089. The next prime is 12545906129. The reversal of 12545906112 is 21160954521.

12545906112 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 590 + 61 + 1 + 2 = 666.

It is a super-2 number, since 2×12545906112² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658188 + ... + 676980.

Almost surely, 2^12545906112 is an apocalyptic number.

12545906112 is a gapful number since it is divisible by the number (12) 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 12545906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237914280).

12545906112 is an abundant number, since it is smaller than the sum of its proper divisors (25929922448).

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

12545906112 is a wasteful number, since it uses less digits than its factorization.

12545906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18891 (or 18878 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12545906112 in words is "twelve billion, five hundred forty-five million, nine hundred six thousand, one hundred twelve".