12125362187040 has 192 divisors, whose sum is σ = 38249365819392. Its totient is φ = 3228821913600.

The previous prime is 12125362186957. The next prime is 12125362187051. The reversal of 12125362187040 is 4078126352121.

It is a super-3 number, since 3×12125362187040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12125362186983 and 12125362187001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086399060 + ... + 1086410220.

It is an arithmetic number, because the mean of its divisors is an integer number (199215446976).

Almost surely, 2^{12125362187040} is an apocalyptic number.

12125362187040 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 12125362187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124682909696).

12125362187040 is an abundant number, since it is smaller than the sum of its proper divisors (26124003632352).

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

12125362187040 is a wasteful number, since it uses less digits than its factorization.

12125362187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14195 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 12125362187040 in words is "twelve trillion, one hundred twenty-five billion, three hundred sixty-two million, one hundred eighty-seven thousand, forty".