12251943453750 has 960 divisors, whose sum is σ = 42589764112896. Its totient is φ = 2268403200000.

The previous prime is 12251943453731. The next prime is 12251943453767. The reversal of 12251943453750 is 5735434915221.

It is a super-2 number, since 2×12251943453750² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12251943453693 and 12251943453702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3156901810 + ... + 3156905690.

Almost surely, 2^{12251943453750} is an apocalyptic number.

12251943453750 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 12251943453750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294882056448).

12251943453750 is an abundant number, since it is smaller than the sum of its proper divisors (30337820659146).

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

12251943453750 is a wasteful number, since it uses less digits than its factorization.

12251943453750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 12251943453750 in words is "twelve trillion, two hundred fifty-one billion, nine hundred forty-three million, four hundred fifty-three thousand, seven hundred fifty".